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Finding the Fourth Proportional to 137,433.60, 206,169.60 and 58,547.20

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Solution

The fourth proportional to 137,433.60, 206,169.60 and 58,547.20 is: 87,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,433.60 : 206,169.60 = 58,547.20 : x
  2. Step 2: Convert to fraction form
    137,433.60/206,169.60 = 58,547.20/x
  3. Step 3: Cross multiply
    137,433.60x = 206,169.60 × 58,547.20
  4. Step 4: Simplify right side
    137,433.60x = 12,070,652,805.12
  5. Step 5: Solve for x
    x = 12,070,652,805.12/137,433.60
  6. Step 6: Final answer
    x = 87,828.98

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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.