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Finding the Fourth Proportional to 106,617, 147,144.42 and 61,905

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Solution

The fourth proportional to 106,617, 147,144.42 and 61,905 is: 85,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,617 : 147,144.42 = 61,905 : x
  2. Step 2: Convert to fraction form
    106,617/147,144.42 = 61,905/x
  3. Step 3: Cross multiply
    106,617x = 147,144.42 × 61,905
  4. Step 4: Simplify right side
    106,617x = 9,108,975,320.10
  5. Step 5: Solve for x
    x = 9,108,975,320.10/106,617
  6. Step 6: Final answer
    x = 85,436.42

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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.