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Finding the Fourth Proportional to 117,641.31, 176,443.38 and 97,778.31

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Solution

The fourth proportional to 117,641.31, 176,443.38 and 97,778.31 is: 146,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,641.31 : 176,443.38 = 97,778.31 : x
  2. Step 2: Convert to fraction form
    117,641.31/176,443.38 = 97,778.31/x
  3. Step 3: Cross multiply
    117,641.31x = 176,443.38 × 97,778.31
  4. Step 4: Simplify right side
    117,641.31x = 17,252,335,507.09
  5. Step 5: Solve for x
    x = 17,252,335,507.09/117,641.31
  6. Step 6: Final answer
    x = 146,652.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.