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Finding the Fourth Proportional to 157,782.40, 236,674.80 and 52,601.20

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Solution

The fourth proportional to 157,782.40, 236,674.80 and 52,601.20 is: 78,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,782.40 : 236,674.80 = 52,601.20 : x
  2. Step 2: Convert to fraction form
    157,782.40/236,674.80 = 52,601.20/x
  3. Step 3: Cross multiply
    157,782.40x = 236,674.80 × 52,601.20
  4. Step 4: Simplify right side
    157,782.40x = 12,449,378,489.76
  5. Step 5: Solve for x
    x = 12,449,378,489.76/157,782.40
  6. Step 6: Final answer
    x = 78,902.20

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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.