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Finding the Fourth Proportional to 129,784.83, 194,676.04 and 41,038.39

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Solution

The fourth proportional to 129,784.83, 194,676.04 and 41,038.39 is: 61,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,784.83 : 194,676.04 = 41,038.39 : x
  2. Step 2: Convert to fraction form
    129,784.83/194,676.04 = 41,038.39/x
  3. Step 3: Cross multiply
    129,784.83x = 194,676.04 × 41,038.39
  4. Step 4: Simplify right side
    129,784.83x = 7,989,191,253.18
  5. Step 5: Solve for x
    x = 7,989,191,253.18/129,784.83
  6. Step 6: Final answer
    x = 61,557.20

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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.