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Finding the Fourth Proportional to 283,107, 424,726.12 and 96,118.50

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Solution

The fourth proportional to 283,107, 424,726.12 and 96,118.50 is: 144,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,107 : 424,726.12 = 96,118.50 : x
  2. Step 2: Convert to fraction form
    283,107/424,726.12 = 96,118.50/x
  3. Step 3: Cross multiply
    283,107x = 424,726.12 × 96,118.50
  4. Step 4: Simplify right side
    283,107x = 40,824,037,565.22
  5. Step 5: Solve for x
    x = 40,824,037,565.22/283,107
  6. Step 6: Final answer
    x = 144,200.03

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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.