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Finding the Fourth Proportional to 123,830.38, 170,887.76 and 70,113.88

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Solution

The fourth proportional to 123,830.38, 170,887.76 and 70,113.88 is: 96,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,830.38 : 170,887.76 = 70,113.88 : x
  2. Step 2: Convert to fraction form
    123,830.38/170,887.76 = 70,113.88/x
  3. Step 3: Cross multiply
    123,830.38x = 170,887.76 × 70,113.88
  4. Step 4: Simplify right side
    123,830.38x = 11,981,603,547.54
  5. Step 5: Solve for x
    x = 11,981,603,547.54/123,830.38
  6. Step 6: Final answer
    x = 96,758.19

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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.