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Finding the Fourth Proportional to 182,595.64, 251,956.96 and 102,013.16

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Solution

The fourth proportional to 182,595.64, 251,956.96 and 102,013.16 is: 140,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,595.64 : 251,956.96 = 102,013.16 : x
  2. Step 2: Convert to fraction form
    182,595.64/251,956.96 = 102,013.16/x
  3. Step 3: Cross multiply
    182,595.64x = 251,956.96 × 102,013.16
  4. Step 4: Simplify right side
    182,595.64x = 25,702,925,673.59
  5. Step 5: Solve for x
    x = 25,702,925,673.59/182,595.64
  6. Step 6: Final answer
    x = 140,764.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.