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Finding the Fourth Proportional to 181,793.40, 272,598.84 and 105,916.47

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Solution

The fourth proportional to 181,793.40, 272,598.84 and 105,916.47 is: 158,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,793.40 : 272,598.84 = 105,916.47 : x
  2. Step 2: Convert to fraction form
    181,793.40/272,598.84 = 105,916.47/x
  3. Step 3: Cross multiply
    181,793.40x = 272,598.84 × 105,916.47
  4. Step 4: Simplify right side
    181,793.40x = 28,872,706,858.89
  5. Step 5: Solve for x
    x = 28,872,706,858.89/181,793.40
  6. Step 6: Final answer
    x = 158,821.54

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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.