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Finding the Fourth Proportional to 283,505.60, 425,341.46 and 83,831.18

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Solution

The fourth proportional to 283,505.60, 425,341.46 and 83,831.18 is: 125,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,505.60 : 425,341.46 = 83,831.18 : x
  2. Step 2: Convert to fraction form
    283,505.60/425,341.46 = 83,831.18/x
  3. Step 3: Cross multiply
    283,505.60x = 425,341.46 × 83,831.18
  4. Step 4: Simplify right side
    283,505.60x = 35,656,874,577.59
  5. Step 5: Solve for x
    x = 35,656,874,577.59/283,505.60
  6. Step 6: Final answer
    x = 125,771.32

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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.