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Finding the Fourth Proportional to 210,793.52, 316,314.86 and 77,767.22

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Solution

The fourth proportional to 210,793.52, 316,314.86 and 77,767.22 is: 116,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,793.52 : 316,314.86 = 77,767.22 : x
  2. Step 2: Convert to fraction form
    210,793.52/316,314.86 = 77,767.22/x
  3. Step 3: Cross multiply
    210,793.52x = 316,314.86 × 77,767.22
  4. Step 4: Simplify right side
    210,793.52x = 24,598,927,708.84
  5. Step 5: Solve for x
    x = 24,598,927,708.84/210,793.52
  6. Step 6: Final answer
    x = 116,696.79

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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.