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Finding the Fourth Proportional to 146,242, 219,364.14 and 35,434

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Solution

The fourth proportional to 146,242, 219,364.14 and 35,434 is: 53,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,242 : 219,364.14 = 35,434 : x
  2. Step 2: Convert to fraction form
    146,242/219,364.14 = 35,434/x
  3. Step 3: Cross multiply
    146,242x = 219,364.14 × 35,434
  4. Step 4: Simplify right side
    146,242x = 7,772,948,936.76
  5. Step 5: Solve for x
    x = 7,772,948,936.76/146,242
  6. Step 6: Final answer
    x = 53,151.28

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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.