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Finding the Fourth Proportional to 106,604, 147,126.48 and 61,892

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Solution

The fourth proportional to 106,604, 147,126.48 and 61,892 is: 85,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,604 : 147,126.48 = 61,892 : x
  2. Step 2: Convert to fraction form
    106,604/147,126.48 = 61,892/x
  3. Step 3: Cross multiply
    106,604x = 147,126.48 × 61,892
  4. Step 4: Simplify right side
    106,604x = 9,105,952,100.16
  5. Step 5: Solve for x
    x = 9,105,952,100.16/106,604
  6. Step 6: Final answer
    x = 85,418.48

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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.