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Finding the Fourth Proportional to 229,851.80, 344,972.10 and 103,686.20

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Solution

The fourth proportional to 229,851.80, 344,972.10 and 103,686.20 is: 155,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,851.80 : 344,972.10 = 103,686.20 : x
  2. Step 2: Convert to fraction form
    229,851.80/344,972.10 = 103,686.20/x
  3. Step 3: Cross multiply
    229,851.80x = 344,972.10 × 103,686.20
  4. Step 4: Simplify right side
    229,851.80x = 35,768,846,155.02
  5. Step 5: Solve for x
    x = 35,768,846,155.02/229,851.80
  6. Step 6: Final answer
    x = 155,616.99

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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.