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Finding the Fourth Proportional to 524,140.84, 786,206.94 and 150,164.20

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Solution

The fourth proportional to 524,140.84, 786,206.94 and 150,164.20 is: 225,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,140.84 : 786,206.94 = 150,164.20 : x
  2. Step 2: Convert to fraction form
    524,140.84/786,206.94 = 150,164.20/x
  3. Step 3: Cross multiply
    524,140.84x = 786,206.94 × 150,164.20
  4. Step 4: Simplify right side
    524,140.84x = 118,060,136,179.55
  5. Step 5: Solve for x
    x = 118,060,136,179.55/524,140.84
  6. Step 6: Final answer
    x = 225,245.06

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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.