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Finding the Fourth Proportional to 213,397.56, 320,130.90 and 65,619

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Solution

The fourth proportional to 213,397.56, 320,130.90 and 65,619 is: 98,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,397.56 : 320,130.90 = 65,619 : x
  2. Step 2: Convert to fraction form
    213,397.56/320,130.90 = 65,619/x
  3. Step 3: Cross multiply
    213,397.56x = 320,130.90 × 65,619
  4. Step 4: Simplify right side
    213,397.56x = 21,006,669,527.10
  5. Step 5: Solve for x
    x = 21,006,669,527.10/213,397.56
  6. Step 6: Final answer
    x = 98,439.13

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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.