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Finding the Fourth Proportional to 178,141.13, 245,838.74 and 101,658.71

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Solution

The fourth proportional to 178,141.13, 245,838.74 and 101,658.71 is: 140,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,141.13 : 245,838.74 = 101,658.71 : x
  2. Step 2: Convert to fraction form
    178,141.13/245,838.74 = 101,658.71/x
  3. Step 3: Cross multiply
    178,141.13x = 245,838.74 × 101,658.71
  4. Step 4: Simplify right side
    178,141.13x = 24,991,648,662.33
  5. Step 5: Solve for x
    x = 24,991,648,662.33/178,141.13
  6. Step 6: Final answer
    x = 140,291.29

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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.