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Finding the Fourth Proportional to 154,322.57, 231,506.03 and 47,714.83

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Solution

The fourth proportional to 154,322.57, 231,506.03 and 47,714.83 is: 71,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,322.57 : 231,506.03 = 47,714.83 : x
  2. Step 2: Convert to fraction form
    154,322.57/231,506.03 = 47,714.83/x
  3. Step 3: Cross multiply
    154,322.57x = 231,506.03 × 47,714.83
  4. Step 4: Simplify right side
    154,322.57x = 11,046,271,005.70
  5. Step 5: Solve for x
    x = 11,046,271,005.70/154,322.57
  6. Step 6: Final answer
    x = 71,579.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.