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Finding the Fourth Proportional to 185,753.89, 256,341.35 and 105,197.10

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Solution

The fourth proportional to 185,753.89, 256,341.35 and 105,197.10 is: 145,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,753.89 : 256,341.35 = 105,197.10 : x
  2. Step 2: Convert to fraction form
    185,753.89/256,341.35 = 105,197.10/x
  3. Step 3: Cross multiply
    185,753.89x = 256,341.35 × 105,197.10
  4. Step 4: Simplify right side
    185,753.89x = 26,966,366,630.09
  5. Step 5: Solve for x
    x = 26,966,366,630.09/185,753.89
  6. Step 6: Final answer
    x = 145,172.55

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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.