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Finding the Fourth Proportional to 106,292.20, 159,131.10 and 64,820.20

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Solution

The fourth proportional to 106,292.20, 159,131.10 and 64,820.20 is: 97,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,292.20 : 159,131.10 = 64,820.20 : x
  2. Step 2: Convert to fraction form
    106,292.20/159,131.10 = 64,820.20/x
  3. Step 3: Cross multiply
    106,292.20x = 159,131.10 × 64,820.20
  4. Step 4: Simplify right side
    106,292.20x = 10,314,909,728.22
  5. Step 5: Solve for x
    x = 10,314,909,728.22/106,292.20
  6. Step 6: Final answer
    x = 97,042.96

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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.