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Finding the Fourth Proportional to 130,604.16, 195,788.80 and 47,440

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Solution

The fourth proportional to 130,604.16, 195,788.80 and 47,440 is: 71,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,604.16 : 195,788.80 = 47,440 : x
  2. Step 2: Convert to fraction form
    130,604.16/195,788.80 = 47,440/x
  3. Step 3: Cross multiply
    130,604.16x = 195,788.80 × 47,440
  4. Step 4: Simplify right side
    130,604.16x = 9,288,220,672
  5. Step 5: Solve for x
    x = 9,288,220,672/130,604.16
  6. Step 6: Final answer
    x = 71,117.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.