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Finding the Fourth Proportional to 178,167.58, 245,953.31 and 105,565.66

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Solution

The fourth proportional to 178,167.58, 245,953.31 and 105,565.66 is: 145,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,167.58 : 245,953.31 = 105,565.66 : x
  2. Step 2: Convert to fraction form
    178,167.58/245,953.31 = 105,565.66/x
  3. Step 3: Cross multiply
    178,167.58x = 245,953.31 × 105,565.66
  4. Step 4: Simplify right side
    178,167.58x = 25,964,222,356.62
  5. Step 5: Solve for x
    x = 25,964,222,356.62/178,167.58
  6. Step 6: Final answer
    x = 145,729.22

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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.