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Finding the Fourth Proportional to 106,570.32, 147,071.93 and 61,262.97

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Solution

The fourth proportional to 106,570.32, 147,071.93 and 61,262.97 is: 84,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,570.32 : 147,071.93 = 61,262.97 : x
  2. Step 2: Convert to fraction form
    106,570.32/147,071.93 = 61,262.97/x
  3. Step 3: Cross multiply
    106,570.32x = 147,071.93 × 61,262.97
  4. Step 4: Simplify right side
    106,570.32x = 9,010,063,235.43
  5. Step 5: Solve for x
    x = 9,010,063,235.43/106,570.32
  6. Step 6: Final answer
    x = 84,545.71

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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.