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Finding the Fourth Proportional to 160,805.71, 241,038.40 and 54,088.08

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Solution

The fourth proportional to 160,805.71, 241,038.40 and 54,088.08 is: 81,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,805.71 : 241,038.40 = 54,088.08 : x
  2. Step 2: Convert to fraction form
    160,805.71/241,038.40 = 54,088.08/x
  3. Step 3: Cross multiply
    160,805.71x = 241,038.40 × 54,088.08
  4. Step 4: Simplify right side
    160,805.71x = 13,037,304,262.27
  5. Step 5: Solve for x
    x = 13,037,304,262.27/160,805.71
  6. Step 6: Final answer
    x = 81,074.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.