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Finding the Fourth Proportional to 206,417.68, 284,707.12 and 125,848.60

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Solution

The fourth proportional to 206,417.68, 284,707.12 and 125,848.60 is: 173,580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,417.68 : 284,707.12 = 125,848.60 : x
  2. Step 2: Convert to fraction form
    206,417.68/284,707.12 = 125,848.60/x
  3. Step 3: Cross multiply
    206,417.68x = 284,707.12 × 125,848.60
  4. Step 4: Simplify right side
    206,417.68x = 35,829,992,462.03
  5. Step 5: Solve for x
    x = 35,829,992,462.03/206,417.68
  6. Step 6: Final answer
    x = 173,580.06

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