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Finding the Fourth Proportional to 153,195.14, 229,792.82 and 48,022.31

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Solution

The fourth proportional to 153,195.14, 229,792.82 and 48,022.31 is: 72,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,195.14 : 229,792.82 = 48,022.31 : x
  2. Step 2: Convert to fraction form
    153,195.14/229,792.82 = 48,022.31/x
  3. Step 3: Cross multiply
    153,195.14x = 229,792.82 × 48,022.31
  4. Step 4: Simplify right side
    153,195.14x = 11,035,182,372.18
  5. Step 5: Solve for x
    x = 11,035,182,372.18/153,195.14
  6. Step 6: Final answer
    x = 72,033.50

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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.