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Finding the Fourth Proportional to 146,221, 219,332.70 and 35,413

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Solution

The fourth proportional to 146,221, 219,332.70 and 35,413 is: 53,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,221 : 219,332.70 = 35,413 : x
  2. Step 2: Convert to fraction form
    146,221/219,332.70 = 35,413/x
  3. Step 3: Cross multiply
    146,221x = 219,332.70 × 35,413
  4. Step 4: Simplify right side
    146,221x = 7,767,228,905.10
  5. Step 5: Solve for x
    x = 7,767,228,905.10/146,221
  6. Step 6: Final answer
    x = 53,119.79

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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.