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Finding the Fourth Proportional to 152,852.80, 229,279.20 and 146,729.20

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Solution

The fourth proportional to 152,852.80, 229,279.20 and 146,729.20 is: 220,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,852.80 : 229,279.20 = 146,729.20 : x
  2. Step 2: Convert to fraction form
    152,852.80/229,279.20 = 146,729.20/x
  3. Step 3: Cross multiply
    152,852.80x = 229,279.20 × 146,729.20
  4. Step 4: Simplify right side
    152,852.80x = 33,641,953,592.64
  5. Step 5: Solve for x
    x = 33,641,953,592.64/152,852.80
  6. Step 6: Final answer
    x = 220,093.80

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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.