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Finding the Fourth Proportional to 210,826.73, 316,343.98 and 98,514.71

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Solution

The fourth proportional to 210,826.73, 316,343.98 and 98,514.71 is: 147,820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,826.73 : 316,343.98 = 98,514.71 : x
  2. Step 2: Convert to fraction form
    210,826.73/316,343.98 = 98,514.71/x
  3. Step 3: Cross multiply
    210,826.73x = 316,343.98 × 98,514.71
  4. Step 4: Simplify right side
    210,826.73x = 31,164,535,449.95
  5. Step 5: Solve for x
    x = 31,164,535,449.95/210,826.73
  6. Step 6: Final answer
    x = 147,820.61

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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.