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Finding the Fourth Proportional to 205,132.60, 307,698.90 and 124,953.40

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Solution

The fourth proportional to 205,132.60, 307,698.90 and 124,953.40 is: 187,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,132.60 : 307,698.90 = 124,953.40 : x
  2. Step 2: Convert to fraction form
    205,132.60/307,698.90 = 124,953.40/x
  3. Step 3: Cross multiply
    205,132.60x = 307,698.90 × 124,953.40
  4. Step 4: Simplify right side
    205,132.60x = 38,448,023,731.26
  5. Step 5: Solve for x
    x = 38,448,023,731.26/205,132.60
  6. Step 6: Final answer
    x = 187,430.10

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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.