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Finding the Fourth Proportional to 153,852.88, 230,882.40 and 54,013.37

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Solution

The fourth proportional to 153,852.88, 230,882.40 and 54,013.37 is: 81,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,852.88 : 230,882.40 = 54,013.37 : x
  2. Step 2: Convert to fraction form
    153,852.88/230,882.40 = 54,013.37/x
  3. Step 3: Cross multiply
    153,852.88x = 230,882.40 × 54,013.37
  4. Step 4: Simplify right side
    153,852.88x = 12,470,736,497.69
  5. Step 5: Solve for x
    x = 12,470,736,497.69/153,852.88
  6. Step 6: Final answer
    x = 81,056.24

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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.