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Finding the Fourth Proportional to 153,141.33, 229,712.01 and 47,968.50

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Solution

The fourth proportional to 153,141.33, 229,712.01 and 47,968.50 is: 71,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,141.33 : 229,712.01 = 47,968.50 : x
  2. Step 2: Convert to fraction form
    153,141.33/229,712.01 = 47,968.50/x
  3. Step 3: Cross multiply
    153,141.33x = 229,712.01 × 47,968.50
  4. Step 4: Simplify right side
    153,141.33x = 11,018,940,551.69
  5. Step 5: Solve for x
    x = 11,018,940,551.69/153,141.33
  6. Step 6: Final answer
    x = 71,952.75

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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.