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Finding the Fourth Proportional to 123,814.14, 170,861.76 and 70,097.76

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Solution

The fourth proportional to 123,814.14, 170,861.76 and 70,097.76 is: 96,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,814.14 : 170,861.76 = 70,097.76 : x
  2. Step 2: Convert to fraction form
    123,814.14/170,861.76 = 70,097.76/x
  3. Step 3: Cross multiply
    123,814.14x = 170,861.76 × 70,097.76
  4. Step 4: Simplify right side
    123,814.14x = 11,977,026,645.66
  5. Step 5: Solve for x
    x = 11,977,026,645.66/123,814.14
  6. Step 6: Final answer
    x = 96,733.92

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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.