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Finding the Fourth Proportional to 125,714.34, 188,599.32 and 41,500.53

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Solution

The fourth proportional to 125,714.34, 188,599.32 and 41,500.53 is: 62,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,714.34 : 188,599.32 = 41,500.53 : x
  2. Step 2: Convert to fraction form
    125,714.34/188,599.32 = 41,500.53/x
  3. Step 3: Cross multiply
    125,714.34x = 188,599.32 × 41,500.53
  4. Step 4: Simplify right side
    125,714.34x = 7,826,971,737.64
  5. Step 5: Solve for x
    x = 7,826,971,737.64/125,714.34
  6. Step 6: Final answer
    x = 62,259.98

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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.