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Finding the Fourth Proportional to 145,125, 217,687.50 and 51,631.02

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Solution

The fourth proportional to 145,125, 217,687.50 and 51,631.02 is: 77,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,125 : 217,687.50 = 51,631.02 : x
  2. Step 2: Convert to fraction form
    145,125/217,687.50 = 51,631.02/x
  3. Step 3: Cross multiply
    145,125x = 217,687.50 × 51,631.02
  4. Step 4: Simplify right side
    145,125x = 11,239,427,666.25
  5. Step 5: Solve for x
    x = 11,239,427,666.25/145,125
  6. Step 6: Final answer
    x = 77,446.53

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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.