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Finding the Fourth Proportional to 234,768, 352,203.84 and 87,024

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Solution

The fourth proportional to 234,768, 352,203.84 and 87,024 is: 130,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,768 : 352,203.84 = 87,024 : x
  2. Step 2: Convert to fraction form
    234,768/352,203.84 = 87,024/x
  3. Step 3: Cross multiply
    234,768x = 352,203.84 × 87,024
  4. Step 4: Simplify right side
    234,768x = 30,650,186,972.16
  5. Step 5: Solve for x
    x = 30,650,186,972.16/234,768
  6. Step 6: Final answer
    x = 130,555.22

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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.