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Finding the Fourth Proportional to 262,545, 362,282.13 and 147,820.68

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Solution

The fourth proportional to 262,545, 362,282.13 and 147,820.68 is: 203,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,545 : 362,282.13 = 147,820.68 : x
  2. Step 2: Convert to fraction form
    262,545/362,282.13 = 147,820.68/x
  3. Step 3: Cross multiply
    262,545x = 362,282.13 × 147,820.68
  4. Step 4: Simplify right side
    262,545x = 53,552,790,808.45
  5. Step 5: Solve for x
    x = 53,552,790,808.45/262,545
  6. Step 6: Final answer
    x = 203,975.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.