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Finding the Fourth Proportional to 130,233, 195,374.88 and 55,352.28

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Solution

The fourth proportional to 130,233, 195,374.88 and 55,352.28 is: 83,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,233 : 195,374.88 = 55,352.28 : x
  2. Step 2: Convert to fraction form
    130,233/195,374.88 = 55,352.28/x
  3. Step 3: Cross multiply
    130,233x = 195,374.88 × 55,352.28
  4. Step 4: Simplify right side
    130,233x = 10,814,445,062.73
  5. Step 5: Solve for x
    x = 10,814,445,062.73/130,233
  6. Step 6: Final answer
    x = 83,039.21

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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.