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Finding the Fourth Proportional to 130,062.80, 194,948.40 and 73,929.80

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Solution

The fourth proportional to 130,062.80, 194,948.40 and 73,929.80 is: 110,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,062.80 : 194,948.40 = 73,929.80 : x
  2. Step 2: Convert to fraction form
    130,062.80/194,948.40 = 73,929.80/x
  3. Step 3: Cross multiply
    130,062.80x = 194,948.40 × 73,929.80
  4. Step 4: Simplify right side
    130,062.80x = 14,412,496,222.32
  5. Step 5: Solve for x
    x = 14,412,496,222.32/130,062.80
  6. Step 6: Final answer
    x = 110,811.82

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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.