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Finding the Fourth Proportional to 153,295.75, 229,956.59 and 42,487.75

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Solution

The fourth proportional to 153,295.75, 229,956.59 and 42,487.75 is: 63,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,295.75 : 229,956.59 = 42,487.75 : x
  2. Step 2: Convert to fraction form
    153,295.75/229,956.59 = 42,487.75/x
  3. Step 3: Cross multiply
    153,295.75x = 229,956.59 × 42,487.75
  4. Step 4: Simplify right side
    153,295.75x = 9,770,338,106.77
  5. Step 5: Solve for x
    x = 9,770,338,106.77/153,295.75
  6. Step 6: Final answer
    x = 63,735.22

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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.