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Finding the Fourth Proportional to 189,095.81, 283,810.10 and 99,202.76

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Solution

The fourth proportional to 189,095.81, 283,810.10 and 99,202.76 is: 148,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,095.81 : 283,810.10 = 99,202.76 : x
  2. Step 2: Convert to fraction form
    189,095.81/283,810.10 = 99,202.76/x
  3. Step 3: Cross multiply
    189,095.81x = 283,810.10 × 99,202.76
  4. Step 4: Simplify right side
    189,095.81x = 28,154,743,816.83
  5. Step 5: Solve for x
    x = 28,154,743,816.83/189,095.81
  6. Step 6: Final answer
    x = 148,891.42

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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.