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Finding the Fourth Proportional to 176,702.92, 243,831.82 and 105,069.10

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Solution

The fourth proportional to 176,702.92, 243,831.82 and 105,069.10 is: 144,984.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,702.92 : 243,831.82 = 105,069.10 : x
  2. Step 2: Convert to fraction form
    176,702.92/243,831.82 = 105,069.10/x
  3. Step 3: Cross multiply
    176,702.92x = 243,831.82 × 105,069.10
  4. Step 4: Simplify right side
    176,702.92x = 25,619,189,660.70
  5. Step 5: Solve for x
    x = 25,619,189,660.70/176,702.92
  6. Step 6: Final answer
    x = 144,984.53

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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.