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Finding the Fourth Proportional to 150,281.04, 207,387.76 and 83,213.04

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Solution

The fourth proportional to 150,281.04, 207,387.76 and 83,213.04 is: 114,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,281.04 : 207,387.76 = 83,213.04 : x
  2. Step 2: Convert to fraction form
    150,281.04/207,387.76 = 83,213.04/x
  3. Step 3: Cross multiply
    150,281.04x = 207,387.76 × 83,213.04
  4. Step 4: Simplify right side
    150,281.04x = 17,257,365,968.39
  5. Step 5: Solve for x
    x = 17,257,365,968.39/150,281.04
  6. Step 6: Final answer
    x = 114,833.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.