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Finding the Fourth Proportional to 524,142.84, 786,209.94 and 150,166.20

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Solution

The fourth proportional to 524,142.84, 786,209.94 and 150,166.20 is: 225,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,142.84 : 786,209.94 = 150,166.20 : x
  2. Step 2: Convert to fraction form
    524,142.84/786,209.94 = 150,166.20/x
  3. Step 3: Cross multiply
    524,142.84x = 786,209.94 × 150,166.20
  4. Step 4: Simplify right side
    524,142.84x = 118,062,159,092.03
  5. Step 5: Solve for x
    x = 118,062,159,092.03/524,142.84
  6. Step 6: Final answer
    x = 225,248.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.