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Finding the Fourth Proportional to 153,994.52, 230,951.65 and 65,202.32

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Solution

The fourth proportional to 153,994.52, 230,951.65 and 65,202.32 is: 97,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,994.52 : 230,951.65 = 65,202.32 : x
  2. Step 2: Convert to fraction form
    153,994.52/230,951.65 = 65,202.32/x
  3. Step 3: Cross multiply
    153,994.52x = 230,951.65 × 65,202.32
  4. Step 4: Simplify right side
    153,994.52x = 15,058,583,387.83
  5. Step 5: Solve for x
    x = 15,058,583,387.83/153,994.52
  6. Step 6: Final answer
    x = 97,786.49

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1.5x scale

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.