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Finding the Fourth Proportional to 178,461.15, 246,296.97 and 106,841.13

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Solution

The fourth proportional to 178,461.15, 246,296.97 and 106,841.13 is: 147,453.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,461.15 : 246,296.97 = 106,841.13 : x
  2. Step 2: Convert to fraction form
    178,461.15/246,296.97 = 106,841.13/x
  3. Step 3: Cross multiply
    178,461.15x = 246,296.97 × 106,841.13
  4. Step 4: Simplify right side
    178,461.15x = 26,314,646,590.38
  5. Step 5: Solve for x
    x = 26,314,646,590.38/178,461.15
  6. Step 6: Final answer
    x = 147,453.08

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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.