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Finding the Fourth Proportional to 295,126.60, 442,920.30 and 137,374.60

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Solution

The fourth proportional to 295,126.60, 442,920.30 and 137,374.60 is: 206,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,126.60 : 442,920.30 = 137,374.60 : x
  2. Step 2: Convert to fraction form
    295,126.60/442,920.30 = 137,374.60/x
  3. Step 3: Cross multiply
    295,126.60x = 442,920.30 × 137,374.60
  4. Step 4: Simplify right side
    295,126.60x = 60,845,999,044.38
  5. Step 5: Solve for x
    x = 60,845,999,044.38/295,126.60
  6. Step 6: Final answer
    x = 206,169.15

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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.