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Finding the Fourth Proportional to 114,902.78, 172,352.88 and 44,831.30

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Solution

The fourth proportional to 114,902.78, 172,352.88 and 44,831.30 is: 67,246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,902.78 : 172,352.88 = 44,831.30 : x
  2. Step 2: Convert to fraction form
    114,902.78/172,352.88 = 44,831.30/x
  3. Step 3: Cross multiply
    114,902.78x = 172,352.88 × 44,831.30
  4. Step 4: Simplify right side
    114,902.78x = 7,726,803,669.14
  5. Step 5: Solve for x
    x = 7,726,803,669.14/114,902.78
  6. Step 6: Final answer
    x = 67,246.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.