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Finding the Fourth Proportional to 157,959.64, 236,951.70 and 52,778.98

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Solution

The fourth proportional to 157,959.64, 236,951.70 and 52,778.98 is: 79,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,959.64 : 236,951.70 = 52,778.98 : x
  2. Step 2: Convert to fraction form
    157,959.64/236,951.70 = 52,778.98/x
  3. Step 3: Cross multiply
    157,959.64x = 236,951.70 × 52,778.98
  4. Step 4: Simplify right side
    157,959.64x = 12,506,069,035.27
  5. Step 5: Solve for x
    x = 12,506,069,035.27/157,959.64
  6. Step 6: Final answer
    x = 79,172.56

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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.