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Finding the Fourth Proportional to 205,103.80, 307,655.70 and 172,444.60

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Solution

The fourth proportional to 205,103.80, 307,655.70 and 172,444.60 is: 258,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,103.80 : 307,655.70 = 172,444.60 : x
  2. Step 2: Convert to fraction form
    205,103.80/307,655.70 = 172,444.60/x
  3. Step 3: Cross multiply
    205,103.80x = 307,655.70 × 172,444.60
  4. Step 4: Simplify right side
    205,103.80x = 53,053,564,124.22
  5. Step 5: Solve for x
    x = 53,053,564,124.22/205,103.80
  6. Step 6: Final answer
    x = 258,666.90

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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.