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Finding the Fourth Proportional to 191,728.95, 264,597.50 and 105,687.81

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Solution

The fourth proportional to 191,728.95, 264,597.50 and 105,687.81 is: 145,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,728.95 : 264,597.50 = 105,687.81 : x
  2. Step 2: Convert to fraction form
    191,728.95/264,597.50 = 105,687.81/x
  3. Step 3: Cross multiply
    191,728.95x = 264,597.50 × 105,687.81
  4. Step 4: Simplify right side
    191,728.95x = 27,964,730,306.48
  5. Step 5: Solve for x
    x = 27,964,730,306.48/191,728.95
  6. Step 6: Final answer
    x = 145,855.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.