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Finding the Fourth Proportional to 158,106.78, 237,158.91 and 64,546.92

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Solution

The fourth proportional to 158,106.78, 237,158.91 and 64,546.92 is: 96,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,106.78 : 237,158.91 = 64,546.92 : x
  2. Step 2: Convert to fraction form
    158,106.78/237,158.91 = 64,546.92/x
  3. Step 3: Cross multiply
    158,106.78x = 237,158.91 × 64,546.92
  4. Step 4: Simplify right side
    158,106.78x = 15,307,877,191.06
  5. Step 5: Solve for x
    x = 15,307,877,191.06/158,106.78
  6. Step 6: Final answer
    x = 96,819.87

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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.