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Finding the Fourth Proportional to 151,098.65, 208,511.76 and 83,115.65

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Solution

The fourth proportional to 151,098.65, 208,511.76 and 83,115.65 is: 114,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,098.65 : 208,511.76 = 83,115.65 : x
  2. Step 2: Convert to fraction form
    151,098.65/208,511.76 = 83,115.65/x
  3. Step 3: Cross multiply
    151,098.65x = 208,511.76 × 83,115.65
  4. Step 4: Simplify right side
    151,098.65x = 17,330,589,422.49
  5. Step 5: Solve for x
    x = 17,330,589,422.49/151,098.65
  6. Step 6: Final answer
    x = 114,697.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.