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Finding the Fourth Proportional to 130,763.25, 196,174.04 and 47,657.25

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Solution

The fourth proportional to 130,763.25, 196,174.04 and 47,657.25 is: 71,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,763.25 : 196,174.04 = 47,657.25 : x
  2. Step 2: Convert to fraction form
    130,763.25/196,174.04 = 47,657.25/x
  3. Step 3: Cross multiply
    130,763.25x = 196,174.04 × 47,657.25
  4. Step 4: Simplify right side
    130,763.25x = 9,349,115,029.50
  5. Step 5: Solve for x
    x = 9,349,115,029.50/130,763.25
  6. Step 6: Final answer
    x = 71,496.50

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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.