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Finding the Fourth Proportional to 106,990.47, 147,646.59 and 61,668.09

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Solution

The fourth proportional to 106,990.47, 147,646.59 and 61,668.09 is: 85,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,990.47 : 147,646.59 = 61,668.09 : x
  2. Step 2: Convert to fraction form
    106,990.47/147,646.59 = 61,668.09/x
  3. Step 3: Cross multiply
    106,990.47x = 147,646.59 × 61,668.09
  4. Step 4: Simplify right side
    106,990.47x = 9,105,083,200.31
  5. Step 5: Solve for x
    x = 9,105,083,200.31/106,990.47
  6. Step 6: Final answer
    x = 85,101.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.