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Finding the Fourth Proportional to 153,832.09, 230,772.53 and 65,086.25

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Solution

The fourth proportional to 153,832.09, 230,772.53 and 65,086.25 is: 97,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,832.09 : 230,772.53 = 65,086.25 : x
  2. Step 2: Convert to fraction form
    153,832.09/230,772.53 = 65,086.25/x
  3. Step 3: Cross multiply
    153,832.09x = 230,772.53 × 65,086.25
  4. Step 4: Simplify right side
    153,832.09x = 15,020,118,255.28
  5. Step 5: Solve for x
    x = 15,020,118,255.28/153,832.09
  6. Step 6: Final answer
    x = 97,639.70

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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.