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Finding the Fourth Proportional to 268,524, 370,565.84 and 147,666.12

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Solution

The fourth proportional to 268,524, 370,565.84 and 147,666.12 is: 203,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,524 : 370,565.84 = 147,666.12 : x
  2. Step 2: Convert to fraction form
    268,524/370,565.84 = 147,666.12/x
  3. Step 3: Cross multiply
    268,524x = 370,565.84 × 147,666.12
  4. Step 4: Simplify right side
    268,524x = 54,720,019,059.01
  5. Step 5: Solve for x
    x = 54,720,019,059.01/268,524
  6. Step 6: Final answer
    x = 203,780.74

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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.