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Finding the Fourth Proportional to 268,010.16, 402,102.60 and 134,821.68

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Solution

The fourth proportional to 268,010.16, 402,102.60 and 134,821.68 is: 202,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,010.16 : 402,102.60 = 134,821.68 : x
  2. Step 2: Convert to fraction form
    268,010.16/402,102.60 = 134,821.68/x
  3. Step 3: Cross multiply
    268,010.16x = 402,102.60 × 134,821.68
  4. Step 4: Simplify right side
    268,010.16x = 54,212,148,064.37
  5. Step 5: Solve for x
    x = 54,212,148,064.37/268,010.16
  6. Step 6: Final answer
    x = 202,276.47

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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.