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Finding the Fourth Proportional to 242,196.80, 363,295.20 and 137,220.80

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Solution

The fourth proportional to 242,196.80, 363,295.20 and 137,220.80 is: 205,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,196.80 : 363,295.20 = 137,220.80 : x
  2. Step 2: Convert to fraction form
    242,196.80/363,295.20 = 137,220.80/x
  3. Step 3: Cross multiply
    242,196.80x = 363,295.20 × 137,220.80
  4. Step 4: Simplify right side
    242,196.80x = 49,851,657,980.16
  5. Step 5: Solve for x
    x = 49,851,657,980.16/242,196.80
  6. Step 6: Final answer
    x = 205,831.20

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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.