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Finding the Fourth Proportional to 242,215.20, 363,322.80 and 94,471.20

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Solution

The fourth proportional to 242,215.20, 363,322.80 and 94,471.20 is: 141,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,215.20 : 363,322.80 = 94,471.20 : x
  2. Step 2: Convert to fraction form
    242,215.20/363,322.80 = 94,471.20/x
  3. Step 3: Cross multiply
    242,215.20x = 363,322.80 × 94,471.20
  4. Step 4: Simplify right side
    242,215.20x = 34,323,540,903.36
  5. Step 5: Solve for x
    x = 34,323,540,903.36/242,215.20
  6. Step 6: Final answer
    x = 141,706.80

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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.