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Finding the Fourth Proportional to 107,122.69, 147,828.17 and 61,800.13

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Solution

The fourth proportional to 107,122.69, 147,828.17 and 61,800.13 is: 85,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,122.69 : 147,828.17 = 61,800.13 : x
  2. Step 2: Convert to fraction form
    107,122.69/147,828.17 = 61,800.13/x
  3. Step 3: Cross multiply
    107,122.69x = 147,828.17 × 61,800.13
  4. Step 4: Simplify right side
    107,122.69x = 9,135,799,075.52
  5. Step 5: Solve for x
    x = 9,135,799,075.52/107,122.69
  6. Step 6: Final answer
    x = 85,283.51

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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.