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Finding the Fourth Proportional to 232,886.16, 349,076.48 and 152,890.56

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Solution

The fourth proportional to 232,886.16, 349,076.48 and 152,890.56 is: 229,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,886.16 : 349,076.48 = 152,890.56 : x
  2. Step 2: Convert to fraction form
    232,886.16/349,076.48 = 152,890.56/x
  3. Step 3: Cross multiply
    232,886.16x = 349,076.48 × 152,890.56
  4. Step 4: Simplify right side
    232,886.16x = 53,370,498,510.03
  5. Step 5: Solve for x
    x = 53,370,498,510.03/232,886.16
  6. Step 6: Final answer
    x = 229,169.90

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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.