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Finding the Fourth Proportional to 102,466, 141,403.08 and 55,362

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Solution

The fourth proportional to 102,466, 141,403.08 and 55,362 is: 76,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,466 : 141,403.08 = 55,362 : x
  2. Step 2: Convert to fraction form
    102,466/141,403.08 = 55,362/x
  3. Step 3: Cross multiply
    102,466x = 141,403.08 × 55,362
  4. Step 4: Simplify right side
    102,466x = 7,828,357,314.96
  5. Step 5: Solve for x
    x = 7,828,357,314.96/102,466
  6. Step 6: Final answer
    x = 76,399.56

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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.