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Finding the Fourth Proportional to 283,442.90, 425,210.19 and 83,783.30

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Solution

The fourth proportional to 283,442.90, 425,210.19 and 83,783.30 is: 125,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,442.90 : 425,210.19 = 83,783.30 : x
  2. Step 2: Convert to fraction form
    283,442.90/425,210.19 = 83,783.30/x
  3. Step 3: Cross multiply
    283,442.90x = 425,210.19 × 83,783.30
  4. Step 4: Simplify right side
    283,442.90x = 35,625,512,911.83
  5. Step 5: Solve for x
    x = 35,625,512,911.83/283,442.90
  6. Step 6: Final answer
    x = 125,688.50

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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.