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Finding the Fourth Proportional to 283,221.02, 424,706.88 and 150,070.59

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Solution

The fourth proportional to 283,221.02, 424,706.88 and 150,070.59 is: 225,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,221.02 : 424,706.88 = 150,070.59 : x
  2. Step 2: Convert to fraction form
    283,221.02/424,706.88 = 150,070.59/x
  3. Step 3: Cross multiply
    283,221.02x = 424,706.88 × 150,070.59
  4. Step 4: Simplify right side
    283,221.02x = 63,736,012,058.66
  5. Step 5: Solve for x
    x = 63,736,012,058.66/283,221.02
  6. Step 6: Final answer
    x = 225,039.84

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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.