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Finding the Fourth Proportional to 342,714.18, 514,058.46 and 89,992.38

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Solution

The fourth proportional to 342,714.18, 514,058.46 and 89,992.38 is: 134,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,714.18 : 514,058.46 = 89,992.38 : x
  2. Step 2: Convert to fraction form
    342,714.18/514,058.46 = 89,992.38/x
  3. Step 3: Cross multiply
    342,714.18x = 514,058.46 × 89,992.38
  4. Step 4: Simplify right side
    342,714.18x = 46,261,344,274.53
  5. Step 5: Solve for x
    x = 46,261,344,274.53/342,714.18
  6. Step 6: Final answer
    x = 134,985.21

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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.