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Finding the Fourth Proportional to 153,224.94, 230,052.72 and 78,398.76

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Solution

The fourth proportional to 153,224.94, 230,052.72 and 78,398.76 is: 117,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,224.94 : 230,052.72 = 78,398.76 : x
  2. Step 2: Convert to fraction form
    153,224.94/230,052.72 = 78,398.76/x
  3. Step 3: Cross multiply
    153,224.94x = 230,052.72 × 78,398.76
  4. Step 4: Simplify right side
    153,224.94x = 18,035,847,982.63
  5. Step 5: Solve for x
    x = 18,035,847,982.63/153,224.94
  6. Step 6: Final answer
    x = 117,708.31

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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.