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Finding the Fourth Proportional to 316,830.48, 475,319.88 and 92,195.88

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Solution

The fourth proportional to 316,830.48, 475,319.88 and 92,195.88 is: 138,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,830.48 : 475,319.88 = 92,195.88 : x
  2. Step 2: Convert to fraction form
    316,830.48/475,319.88 = 92,195.88/x
  3. Step 3: Cross multiply
    316,830.48x = 475,319.88 × 92,195.88
  4. Step 4: Simplify right side
    316,830.48x = 43,822,534,618.09
  5. Step 5: Solve for x
    x = 43,822,534,618.09/316,830.48
  6. Step 6: Final answer
    x = 138,315.40

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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.