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Finding the Fourth Proportional to 137,666.40, 206,475 and 36,465.18

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Solution

The fourth proportional to 137,666.40, 206,475 and 36,465.18 is: 54,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,666.40 : 206,475 = 36,465.18 : x
  2. Step 2: Convert to fraction form
    137,666.40/206,475 = 36,465.18/x
  3. Step 3: Cross multiply
    137,666.40x = 206,475 × 36,465.18
  4. Step 4: Simplify right side
    137,666.40x = 7,529,148,040.50
  5. Step 5: Solve for x
    x = 7,529,148,040.50/137,666.40
  6. Step 6: Final answer
    x = 54,691.25

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