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Finding the Fourth Proportional to 233,400, 322,092 and 127,416

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Solution

The fourth proportional to 233,400, 322,092 and 127,416 is: 175,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,400 : 322,092 = 127,416 : x
  2. Step 2: Convert to fraction form
    233,400/322,092 = 127,416/x
  3. Step 3: Cross multiply
    233,400x = 322,092 × 127,416
  4. Step 4: Simplify right side
    233,400x = 41,039,674,272
  5. Step 5: Solve for x
    x = 41,039,674,272/233,400
  6. Step 6: Final answer
    x = 175,834.08

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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.