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Finding the Fourth Proportional to 146,223, 219,345.48 and 83,018.70

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Solution

The fourth proportional to 146,223, 219,345.48 and 83,018.70 is: 124,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,223 : 219,345.48 = 83,018.70 : x
  2. Step 2: Convert to fraction form
    146,223/219,345.48 = 83,018.70/x
  3. Step 3: Cross multiply
    146,223x = 219,345.48 × 83,018.70
  4. Step 4: Simplify right side
    146,223x = 18,209,776,600.48
  5. Step 5: Solve for x
    x = 18,209,776,600.48/146,223
  6. Step 6: Final answer
    x = 124,534.28

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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.