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Finding the Fourth Proportional to 142,854.96, 214,379.22 and 58,630.32

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Solution

The fourth proportional to 142,854.96, 214,379.22 and 58,630.32 is: 87,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,854.96 : 214,379.22 = 58,630.32 : x
  2. Step 2: Convert to fraction form
    142,854.96/214,379.22 = 58,630.32/x
  3. Step 3: Cross multiply
    142,854.96x = 214,379.22 × 58,630.32
  4. Step 4: Simplify right side
    142,854.96x = 12,569,122,269.95
  5. Step 5: Solve for x
    x = 12,569,122,269.95/142,854.96
  6. Step 6: Final answer
    x = 87,985.20

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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.