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Finding the Fourth Proportional to 316,066.16, 474,348.34 and 138,695.60

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Solution

The fourth proportional to 316,066.16, 474,348.34 and 138,695.60 is: 208,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,066.16 : 474,348.34 = 138,695.60 : x
  2. Step 2: Convert to fraction form
    316,066.16/474,348.34 = 138,695.60/x
  3. Step 3: Cross multiply
    316,066.16x = 474,348.34 × 138,695.60
  4. Step 4: Simplify right side
    316,066.16x = 65,790,027,625.30
  5. Step 5: Solve for x
    x = 65,790,027,625.30/316,066.16
  6. Step 6: Final answer
    x = 208,152.71

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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.