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Finding the Fourth Proportional to 146,922, 202,752.36 and 87,306

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Solution

The fourth proportional to 146,922, 202,752.36 and 87,306 is: 120,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,922 : 202,752.36 = 87,306 : x
  2. Step 2: Convert to fraction form
    146,922/202,752.36 = 87,306/x
  3. Step 3: Cross multiply
    146,922x = 202,752.36 × 87,306
  4. Step 4: Simplify right side
    146,922x = 17,701,497,542.16
  5. Step 5: Solve for x
    x = 17,701,497,542.16/146,922
  6. Step 6: Final answer
    x = 120,482.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.