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Finding the Fourth Proportional to 150,594.48, 207,817.12 and 83,526.48

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Solution

The fourth proportional to 150,594.48, 207,817.12 and 83,526.48 is: 115,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,594.48 : 207,817.12 = 83,526.48 : x
  2. Step 2: Convert to fraction form
    150,594.48/207,817.12 = 83,526.48/x
  3. Step 3: Cross multiply
    150,594.48x = 207,817.12 × 83,526.48
  4. Step 4: Simplify right side
    150,594.48x = 17,358,232,517.34
  5. Step 5: Solve for x
    x = 17,358,232,517.34/150,594.48
  6. Step 6: Final answer
    x = 115,264.73

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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.