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Finding the Fourth Proportional to 100,013.40, 149,996.10 and 57,802.20

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Solution

The fourth proportional to 100,013.40, 149,996.10 and 57,802.20 is: 86,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,013.40 : 149,996.10 = 57,802.20 : x
  2. Step 2: Convert to fraction form
    100,013.40/149,996.10 = 57,802.20/x
  3. Step 3: Cross multiply
    100,013.40x = 149,996.10 × 57,802.20
  4. Step 4: Simplify right side
    100,013.40x = 8,670,104,571.42
  5. Step 5: Solve for x
    x = 8,670,104,571.42/100,013.40
  6. Step 6: Final answer
    x = 86,689.43

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1.5x scale

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.