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Finding the Fourth Proportional to 205,253.60, 307,588.80 and 142,851.20

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Solution

The fourth proportional to 205,253.60, 307,588.80 and 142,851.20 is: 214,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,253.60 : 307,588.80 = 142,851.20 : x
  2. Step 2: Convert to fraction form
    205,253.60/307,588.80 = 142,851.20/x
  3. Step 3: Cross multiply
    205,253.60x = 307,588.80 × 142,851.20
  4. Step 4: Simplify right side
    205,253.60x = 43,939,429,186.56
  5. Step 5: Solve for x
    x = 43,939,429,186.56/205,253.60
  6. Step 6: Final answer
    x = 214,073.85

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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.