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Finding the Fourth Proportional to 159,066.56, 238,601.50 and 46,748.78

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Solution

The fourth proportional to 159,066.56, 238,601.50 and 46,748.78 is: 70,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,066.56 : 238,601.50 = 46,748.78 : x
  2. Step 2: Convert to fraction form
    159,066.56/238,601.50 = 46,748.78/x
  3. Step 3: Cross multiply
    159,066.56x = 238,601.50 × 46,748.78
  4. Step 4: Simplify right side
    159,066.56x = 11,154,329,031.17
  5. Step 5: Solve for x
    x = 11,154,329,031.17/159,066.56
  6. Step 6: Final answer
    x = 70,123.66

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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.