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Finding the Fourth Proportional to 137,572.44, 206,358.66 and 110,045.40

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Solution

The fourth proportional to 137,572.44, 206,358.66 and 110,045.40 is: 165,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,572.44 : 206,358.66 = 110,045.40 : x
  2. Step 2: Convert to fraction form
    137,572.44/206,358.66 = 110,045.40/x
  3. Step 3: Cross multiply
    137,572.44x = 206,358.66 × 110,045.40
  4. Step 4: Simplify right side
    137,572.44x = 22,708,821,283.16
  5. Step 5: Solve for x
    x = 22,708,821,283.16/137,572.44
  6. Step 6: Final answer
    x = 165,068.10

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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.