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Finding the Fourth Proportional to 107,220.68, 147,961.68 and 61,897.13

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Solution

The fourth proportional to 107,220.68, 147,961.68 and 61,897.13 is: 85,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,220.68 : 147,961.68 = 61,897.13 : x
  2. Step 2: Convert to fraction form
    107,220.68/147,961.68 = 61,897.13/x
  3. Step 3: Cross multiply
    107,220.68x = 147,961.68 × 61,897.13
  4. Step 4: Simplify right side
    107,220.68x = 9,158,402,370.06
  5. Step 5: Solve for x
    x = 9,158,402,370.06/107,220.68
  6. Step 6: Final answer
    x = 85,416.38

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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.