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Finding the Fourth Proportional to 153,393.84, 230,146.11 and 53,568.81

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Solution

The fourth proportional to 153,393.84, 230,146.11 and 53,568.81 is: 80,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,393.84 : 230,146.11 = 53,568.81 : x
  2. Step 2: Convert to fraction form
    153,393.84/230,146.11 = 53,568.81/x
  3. Step 3: Cross multiply
    153,393.84x = 230,146.11 × 53,568.81
  4. Step 4: Simplify right side
    153,393.84x = 12,328,653,238.83
  5. Step 5: Solve for x
    x = 12,328,653,238.83/153,393.84
  6. Step 6: Final answer
    x = 80,372.54

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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.