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Finding the Fourth Proportional to 261,782.40, 392,788.80 and 121,468.80

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Solution

The fourth proportional to 261,782.40, 392,788.80 and 121,468.80 is: 182,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,782.40 : 392,788.80 = 121,468.80 : x
  2. Step 2: Convert to fraction form
    261,782.40/392,788.80 = 121,468.80/x
  3. Step 3: Cross multiply
    261,782.40x = 392,788.80 × 121,468.80
  4. Step 4: Simplify right side
    261,782.40x = 47,711,584,189.44
  5. Step 5: Solve for x
    x = 47,711,584,189.44/261,782.40
  6. Step 6: Final answer
    x = 182,256.65

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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.