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Finding the Fourth Proportional to 106,641.56, 147,148.44 and 61,310.72

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Solution

The fourth proportional to 106,641.56, 147,148.44 and 61,310.72 is: 84,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,641.56 : 147,148.44 = 61,310.72 : x
  2. Step 2: Convert to fraction form
    106,641.56/147,148.44 = 61,310.72/x
  3. Step 3: Cross multiply
    106,641.56x = 147,148.44 × 61,310.72
  4. Step 4: Simplify right side
    106,641.56x = 9,021,776,803.28
  5. Step 5: Solve for x
    x = 9,021,776,803.28/106,641.56
  6. Step 6: Final answer
    x = 84,599.07

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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.