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Finding the Fourth Proportional to 283,223.60, 424,835.40 and 96,235.10

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Solution

The fourth proportional to 283,223.60, 424,835.40 and 96,235.10 is: 144,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,223.60 : 424,835.40 = 96,235.10 : x
  2. Step 2: Convert to fraction form
    283,223.60/424,835.40 = 96,235.10/x
  3. Step 3: Cross multiply
    283,223.60x = 424,835.40 × 96,235.10
  4. Step 4: Simplify right side
    283,223.60x = 40,884,077,202.54
  5. Step 5: Solve for x
    x = 40,884,077,202.54/283,223.60
  6. Step 6: Final answer
    x = 144,352.65

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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.