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Finding the Fourth Proportional to 233,315.60, 350,146.20 and 154,403.60

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Solution

The fourth proportional to 233,315.60, 350,146.20 and 154,403.60 is: 231,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,315.60 : 350,146.20 = 154,403.60 : x
  2. Step 2: Convert to fraction form
    233,315.60/350,146.20 = 154,403.60/x
  3. Step 3: Cross multiply
    233,315.60x = 350,146.20 × 154,403.60
  4. Step 4: Simplify right side
    233,315.60x = 54,063,833,806.32
  5. Step 5: Solve for x
    x = 54,063,833,806.32/233,315.60
  6. Step 6: Final answer
    x = 231,719.76

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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.