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Finding the Fourth Proportional to 133,308.20, 200,048.70 and 77,148.20

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Solution

The fourth proportional to 133,308.20, 200,048.70 and 77,148.20 is: 115,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,308.20 : 200,048.70 = 77,148.20 : x
  2. Step 2: Convert to fraction form
    133,308.20/200,048.70 = 77,148.20/x
  3. Step 3: Cross multiply
    133,308.20x = 200,048.70 × 77,148.20
  4. Step 4: Simplify right side
    133,308.20x = 15,433,397,117.34
  5. Step 5: Solve for x
    x = 15,433,397,117.34/133,308.20
  6. Step 6: Final answer
    x = 115,772.30

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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.