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Finding the Fourth Proportional to 185,920.68, 256,569.84 and 105,363.56

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Solution

The fourth proportional to 185,920.68, 256,569.84 and 105,363.56 is: 145,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,920.68 : 256,569.84 = 105,363.56 : x
  2. Step 2: Convert to fraction form
    185,920.68/256,569.84 = 105,363.56/x
  3. Step 3: Cross multiply
    185,920.68x = 256,569.84 × 105,363.56
  4. Step 4: Simplify right side
    185,920.68x = 27,033,111,731.03
  5. Step 5: Solve for x
    x = 27,033,111,731.03/185,920.68
  6. Step 6: Final answer
    x = 145,401.32

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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.