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Finding the Fourth Proportional to 176,978.16, 244,227.96 and 101,538.48

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Solution

The fourth proportional to 176,978.16, 244,227.96 and 101,538.48 is: 140,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,978.16 : 244,227.96 = 101,538.48 : x
  2. Step 2: Convert to fraction form
    176,978.16/244,227.96 = 101,538.48/x
  3. Step 3: Cross multiply
    176,978.16x = 244,227.96 × 101,538.48
  4. Step 4: Simplify right side
    176,978.16x = 24,798,535,831.90
  5. Step 5: Solve for x
    x = 24,798,535,831.90/176,978.16
  6. Step 6: Final answer
    x = 140,122.01

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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.