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Finding the Fourth Proportional to 185,709.29, 256,294.68 and 105,151.01

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Solution

The fourth proportional to 185,709.29, 256,294.68 and 105,151.01 is: 145,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,709.29 : 256,294.68 = 105,151.01 : x
  2. Step 2: Convert to fraction form
    185,709.29/256,294.68 = 105,151.01/x
  3. Step 3: Cross multiply
    185,709.29x = 256,294.68 × 105,151.01
  4. Step 4: Simplify right side
    185,709.29x = 26,949,644,459.63
  5. Step 5: Solve for x
    x = 26,949,644,459.63/185,709.29
  6. Step 6: Final answer
    x = 145,117.37

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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.