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Finding the Fourth Proportional to 106,492.20, 159,431.10 and 65,020.20

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Solution

The fourth proportional to 106,492.20, 159,431.10 and 65,020.20 is: 97,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,492.20 : 159,431.10 = 65,020.20 : x
  2. Step 2: Convert to fraction form
    106,492.20/159,431.10 = 65,020.20/x
  3. Step 3: Cross multiply
    106,492.20x = 159,431.10 × 65,020.20
  4. Step 4: Simplify right side
    106,492.20x = 10,366,242,008.22
  5. Step 5: Solve for x
    x = 10,366,242,008.22/106,492.20
  6. Step 6: Final answer
    x = 97,342.74

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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.