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Finding the Fourth Proportional to 153,282.69, 229,933.76 and 48,105.81

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Solution

The fourth proportional to 153,282.69, 229,933.76 and 48,105.81 is: 72,161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,282.69 : 229,933.76 = 48,105.81 : x
  2. Step 2: Convert to fraction form
    153,282.69/229,933.76 = 48,105.81/x
  3. Step 3: Cross multiply
    153,282.69x = 229,933.76 × 48,105.81
  4. Step 4: Simplify right side
    153,282.69x = 11,061,149,530.62
  5. Step 5: Solve for x
    x = 11,061,149,530.62/153,282.69
  6. Step 6: Final answer
    x = 72,161.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.