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Finding the Fourth Proportional to 181,805.40, 272,870.10 and 106,831.80

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Solution

The fourth proportional to 181,805.40, 272,870.10 and 106,831.80 is: 160,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,805.40 : 272,870.10 = 106,831.80 : x
  2. Step 2: Convert to fraction form
    181,805.40/272,870.10 = 106,831.80/x
  3. Step 3: Cross multiply
    181,805.40x = 272,870.10 × 106,831.80
  4. Step 4: Simplify right side
    181,805.40x = 29,151,203,949.18
  5. Step 5: Solve for x
    x = 29,151,203,949.18/181,805.40
  6. Step 6: Final answer
    x = 160,342.89

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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.