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Finding the Fourth Proportional to 106,608, 147,132 and 61,896

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Solution

The fourth proportional to 106,608, 147,132 and 61,896 is: 85,424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,608 : 147,132 = 61,896 : x
  2. Step 2: Convert to fraction form
    106,608/147,132 = 61,896/x
  3. Step 3: Cross multiply
    106,608x = 147,132 × 61,896
  4. Step 4: Simplify right side
    106,608x = 9,106,882,272
  5. Step 5: Solve for x
    x = 9,106,882,272/106,608
  6. Step 6: Final answer
    x = 85,424.00

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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.