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Finding the Fourth Proportional to 140,232, 210,348 and 41,736

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Solution

The fourth proportional to 140,232, 210,348 and 41,736 is: 62,604

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,232 : 210,348 = 41,736 : x
  2. Step 2: Convert to fraction form
    140,232/210,348 = 41,736/x
  3. Step 3: Cross multiply
    140,232x = 210,348 × 41,736
  4. Step 4: Simplify right side
    140,232x = 8,779,084,128
  5. Step 5: Solve for x
    x = 8,779,084,128/140,232
  6. Step 6: Final answer
    x = 62,604

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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.