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Finding the Fourth Proportional to 242,810.80, 363,827.40 and 159,607.60

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Solution

The fourth proportional to 242,810.80, 363,827.40 and 159,607.60 is: 239,155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,810.80 : 363,827.40 = 159,607.60 : x
  2. Step 2: Convert to fraction form
    242,810.80/363,827.40 = 159,607.60/x
  3. Step 3: Cross multiply
    242,810.80x = 363,827.40 × 159,607.60
  4. Step 4: Simplify right side
    242,810.80x = 58,069,618,128.24
  5. Step 5: Solve for x
    x = 58,069,618,128.24/242,810.80
  6. Step 6: Final answer
    x = 239,155.83

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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.