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Finding the Fourth Proportional to 283,300.84, 424,951.26 and 96,312.34

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Solution

The fourth proportional to 283,300.84, 424,951.26 and 96,312.34 is: 144,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,300.84 : 424,951.26 = 96,312.34 : x
  2. Step 2: Convert to fraction form
    283,300.84/424,951.26 = 96,312.34/x
  3. Step 3: Cross multiply
    283,300.84x = 424,951.26 × 96,312.34
  4. Step 4: Simplify right side
    283,300.84x = 40,928,050,236.55
  5. Step 5: Solve for x
    x = 40,928,050,236.55/283,300.84
  6. Step 6: Final answer
    x = 144,468.51

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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.