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Finding the Fourth Proportional to 102,657, 141,666.66 and 55,553

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Solution

The fourth proportional to 102,657, 141,666.66 and 55,553 is: 76,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,657 : 141,666.66 = 55,553 : x
  2. Step 2: Convert to fraction form
    102,657/141,666.66 = 55,553/x
  3. Step 3: Cross multiply
    102,657x = 141,666.66 × 55,553
  4. Step 4: Simplify right side
    102,657x = 7,870,007,962.98
  5. Step 5: Solve for x
    x = 7,870,007,962.98/102,657
  6. Step 6: Final answer
    x = 76,663.14

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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.