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Finding the Fourth Proportional to 130,534.70, 195,510.45 and 107,206.70

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Solution

The fourth proportional to 130,534.70, 195,510.45 and 107,206.70 is: 160,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,534.70 : 195,510.45 = 107,206.70 : x
  2. Step 2: Convert to fraction form
    130,534.70/195,510.45 = 107,206.70/x
  3. Step 3: Cross multiply
    130,534.70x = 195,510.45 × 107,206.70
  4. Step 4: Simplify right side
    130,534.70x = 20,960,030,160.02
  5. Step 5: Solve for x
    x = 20,960,030,160.02/130,534.70
  6. Step 6: Final answer
    x = 160,570.56

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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.