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Finding the Fourth Proportional to 144,954.38, 200,038.68 and 80,424.80

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Solution

The fourth proportional to 144,954.38, 200,038.68 and 80,424.80 is: 110,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,954.38 : 200,038.68 = 80,424.80 : x
  2. Step 2: Convert to fraction form
    144,954.38/200,038.68 = 80,424.80/x
  3. Step 3: Cross multiply
    144,954.38x = 200,038.68 × 80,424.80
  4. Step 4: Simplify right side
    144,954.38x = 16,088,069,831.07
  5. Step 5: Solve for x
    x = 16,088,069,831.07/144,954.38
  6. Step 6: Final answer
    x = 110,987.13

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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.