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Finding the Fourth Proportional to 242,572.80, 363,859.20 and 76,360.80

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Solution

The fourth proportional to 242,572.80, 363,859.20 and 76,360.80 is: 114,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,572.80 : 363,859.20 = 76,360.80 : x
  2. Step 2: Convert to fraction form
    242,572.80/363,859.20 = 76,360.80/x
  3. Step 3: Cross multiply
    242,572.80x = 363,859.20 × 76,360.80
  4. Step 4: Simplify right side
    242,572.80x = 27,784,579,599.36
  5. Step 5: Solve for x
    x = 27,784,579,599.36/242,572.80
  6. Step 6: Final answer
    x = 114,541.20

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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.