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Finding the Fourth Proportional to 314,359.94, 471,275.37 and 136,733.15

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Solution

The fourth proportional to 314,359.94, 471,275.37 and 136,733.15 is: 204,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,359.94 : 471,275.37 = 136,733.15 : x
  2. Step 2: Convert to fraction form
    314,359.94/471,275.37 = 136,733.15/x
  3. Step 3: Cross multiply
    314,359.94x = 471,275.37 × 136,733.15
  4. Step 4: Simplify right side
    314,359.94x = 64,438,965,857.52
  5. Step 5: Solve for x
    x = 64,438,965,857.52/314,359.94
  6. Step 6: Final answer
    x = 204,984.66

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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.