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Finding the Fourth Proportional to 153,295.25, 229,955.84 and 42,487.25

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Solution

The fourth proportional to 153,295.25, 229,955.84 and 42,487.25 is: 63,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,295.25 : 229,955.84 = 42,487.25 : x
  2. Step 2: Convert to fraction form
    153,295.25/229,955.84 = 42,487.25/x
  3. Step 3: Cross multiply
    153,295.25x = 229,955.84 × 42,487.25
  4. Step 4: Simplify right side
    153,295.25x = 9,770,191,050.60
  5. Step 5: Solve for x
    x = 9,770,191,050.60/153,295.25
  6. Step 6: Final answer
    x = 63,734.47

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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.