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Finding the Fourth Proportional to 130,672.08, 196,054.20 and 47,574.48

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Solution

The fourth proportional to 130,672.08, 196,054.20 and 47,574.48 is: 71,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,672.08 : 196,054.20 = 47,574.48 : x
  2. Step 2: Convert to fraction form
    130,672.08/196,054.20 = 47,574.48/x
  3. Step 3: Cross multiply
    130,672.08x = 196,054.20 × 47,574.48
  4. Step 4: Simplify right side
    130,672.08x = 9,327,176,616.82
  5. Step 5: Solve for x
    x = 9,327,176,616.82/130,672.08
  6. Step 6: Final answer
    x = 71,378.50

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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.