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Finding the Fourth Proportional to 178,062.75, 245,726.82 and 97,490.82

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Solution

The fourth proportional to 178,062.75, 245,726.82 and 97,490.82 is: 134,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,062.75 : 245,726.82 = 97,490.82 : x
  2. Step 2: Convert to fraction form
    178,062.75/245,726.82 = 97,490.82/x
  3. Step 3: Cross multiply
    178,062.75x = 245,726.82 × 97,490.82
  4. Step 4: Simplify right side
    178,062.75x = 23,956,109,177.79
  5. Step 5: Solve for x
    x = 23,956,109,177.79/178,062.75
  6. Step 6: Final answer
    x = 134,537.45

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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.