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Finding the Fourth Proportional to 130,216.19, 195,343.78 and 47,129.63

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Solution

The fourth proportional to 130,216.19, 195,343.78 and 47,129.63 is: 70,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,216.19 : 195,343.78 = 47,129.63 : x
  2. Step 2: Convert to fraction form
    130,216.19/195,343.78 = 47,129.63/x
  3. Step 3: Cross multiply
    130,216.19x = 195,343.78 × 47,129.63
  4. Step 4: Simplify right side
    130,216.19x = 9,206,480,074.20
  5. Step 5: Solve for x
    x = 9,206,480,074.20/130,216.19
  6. Step 6: Final answer
    x = 70,701.50

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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.