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Finding the Fourth Proportional to 130,337.40, 195,743.70 and 114,007.80

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Solution

The fourth proportional to 130,337.40, 195,743.70 and 114,007.80 is: 171,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,337.40 : 195,743.70 = 114,007.80 : x
  2. Step 2: Convert to fraction form
    130,337.40/195,743.70 = 114,007.80/x
  3. Step 3: Cross multiply
    130,337.40x = 195,743.70 × 114,007.80
  4. Step 4: Simplify right side
    130,337.40x = 22,316,308,600.86
  5. Step 5: Solve for x
    x = 22,316,308,600.86/130,337.40
  6. Step 6: Final answer
    x = 171,219.53

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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.