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Finding the Fourth Proportional to 283,341.68, 424,944.46 and 83,608.12

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Solution

The fourth proportional to 283,341.68, 424,944.46 and 83,608.12 is: 125,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,341.68 : 424,944.46 = 83,608.12 : x
  2. Step 2: Convert to fraction form
    283,341.68/424,944.46 = 83,608.12/x
  3. Step 3: Cross multiply
    283,341.68x = 424,944.46 × 83,608.12
  4. Step 4: Simplify right side
    283,341.68x = 35,528,807,405.02
  5. Step 5: Solve for x
    x = 35,528,807,405.02/283,341.68
  6. Step 6: Final answer
    x = 125,392.10

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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.