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Finding the Fourth Proportional to 153,235.20, 229,852.80 and 74,503.20

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Solution

The fourth proportional to 153,235.20, 229,852.80 and 74,503.20 is: 111,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,235.20 : 229,852.80 = 74,503.20 : x
  2. Step 2: Convert to fraction form
    153,235.20/229,852.80 = 74,503.20/x
  3. Step 3: Cross multiply
    153,235.20x = 229,852.80 × 74,503.20
  4. Step 4: Simplify right side
    153,235.20x = 17,124,769,128.96
  5. Step 5: Solve for x
    x = 17,124,769,128.96/153,235.20
  6. Step 6: Final answer
    x = 111,754.80

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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.