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Finding the Fourth Proportional to 154,322.60, 231,506.08 and 47,714.87

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Solution

The fourth proportional to 154,322.60, 231,506.08 and 47,714.87 is: 71,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,322.60 : 231,506.08 = 47,714.87 : x
  2. Step 2: Convert to fraction form
    154,322.60/231,506.08 = 47,714.87/x
  3. Step 3: Cross multiply
    154,322.60x = 231,506.08 × 47,714.87
  4. Step 4: Simplify right side
    154,322.60x = 11,046,281,115.30
  5. Step 5: Solve for x
    x = 11,046,281,115.30/154,322.60
  6. Step 6: Final answer
    x = 71,579.16

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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.