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Finding the Fourth Proportional to 154,592.80, 231,716.40 and 65,831.20

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Solution

The fourth proportional to 154,592.80, 231,716.40 and 65,831.20 is: 98,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,592.80 : 231,716.40 = 65,831.20 : x
  2. Step 2: Convert to fraction form
    154,592.80/231,716.40 = 65,831.20/x
  3. Step 3: Cross multiply
    154,592.80x = 231,716.40 × 65,831.20
  4. Step 4: Simplify right side
    154,592.80x = 15,254,168,671.68
  5. Step 5: Solve for x
    x = 15,254,168,671.68/154,592.80
  6. Step 6: Final answer
    x = 98,673.22

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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.