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Finding the Fourth Proportional to 130,024.68, 194,877.42 and 73,911.78

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Solution

The fourth proportional to 130,024.68, 194,877.42 and 73,911.78 is: 110,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,024.68 : 194,877.42 = 73,911.78 : x
  2. Step 2: Convert to fraction form
    130,024.68/194,877.42 = 73,911.78/x
  3. Step 3: Cross multiply
    130,024.68x = 194,877.42 × 73,911.78
  4. Step 4: Simplify right side
    130,024.68x = 14,403,736,994.01
  5. Step 5: Solve for x
    x = 14,403,736,994.01/130,024.68
  6. Step 6: Final answer
    x = 110,776.95

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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.