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Finding the Fourth Proportional to 181,574.10, 272,361.15 and 102,842.10

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Solution

The fourth proportional to 181,574.10, 272,361.15 and 102,842.10 is: 154,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,574.10 : 272,361.15 = 102,842.10 : x
  2. Step 2: Convert to fraction form
    181,574.10/272,361.15 = 102,842.10/x
  3. Step 3: Cross multiply
    181,574.10x = 272,361.15 × 102,842.10
  4. Step 4: Simplify right side
    181,574.10x = 28,010,192,624.42
  5. Step 5: Solve for x
    x = 28,010,192,624.42/181,574.10
  6. Step 6: Final answer
    x = 154,263.15

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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.