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Finding the Fourth Proportional to 205,151.40, 307,751.10 and 64,924.20

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Solution

The fourth proportional to 205,151.40, 307,751.10 and 64,924.20 is: 97,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,151.40 : 307,751.10 = 64,924.20 : x
  2. Step 2: Convert to fraction form
    205,151.40/307,751.10 = 64,924.20/x
  3. Step 3: Cross multiply
    205,151.40x = 307,751.10 × 64,924.20
  4. Step 4: Simplify right side
    205,151.40x = 19,980,493,966.62
  5. Step 5: Solve for x
    x = 19,980,493,966.62/205,151.40
  6. Step 6: Final answer
    x = 97,393.90

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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.