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Finding the Fourth Proportional to 178,141.38, 245,832.62 and 101,684.72

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Solution

The fourth proportional to 178,141.38, 245,832.62 and 101,684.72 is: 140,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,141.38 : 245,832.62 = 101,684.72 : x
  2. Step 2: Convert to fraction form
    178,141.38/245,832.62 = 101,684.72/x
  3. Step 3: Cross multiply
    178,141.38x = 245,832.62 × 101,684.72
  4. Step 4: Simplify right side
    178,141.38x = 24,997,421,131.57
  5. Step 5: Solve for x
    x = 24,997,421,131.57/178,141.38
  6. Step 6: Final answer
    x = 140,323.50

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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.