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Finding the Fourth Proportional to 314,359.97, 471,275.45 and 136,733.19

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Solution

The fourth proportional to 314,359.97, 471,275.45 and 136,733.19 is: 204,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,359.97 : 471,275.45 = 136,733.19 : x
  2. Step 2: Convert to fraction form
    314,359.97/471,275.45 = 136,733.19/x
  3. Step 3: Cross multiply
    314,359.97x = 471,275.45 × 136,733.19
  4. Step 4: Simplify right side
    314,359.97x = 64,438,994,963.52
  5. Step 5: Solve for x
    x = 64,438,994,963.52/314,359.97
  6. Step 6: Final answer
    x = 204,984.74

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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.