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Finding the Fourth Proportional to 130,040.80, 195,061.20 and 117,599.20

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Solution

The fourth proportional to 130,040.80, 195,061.20 and 117,599.20 is: 176,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,040.80 : 195,061.20 = 117,599.20 : x
  2. Step 2: Convert to fraction form
    130,040.80/195,061.20 = 117,599.20/x
  3. Step 3: Cross multiply
    130,040.80x = 195,061.20 × 117,599.20
  4. Step 4: Simplify right side
    130,040.80x = 22,939,041,071.04
  5. Step 5: Solve for x
    x = 22,939,041,071.04/130,040.80
  6. Step 6: Final answer
    x = 176,398.80

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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.