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Finding the Fourth Proportional to 154,050, 230,407.92 and 90,719.16

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Solution

The fourth proportional to 154,050, 230,407.92 and 90,719.16 is: 135,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,050 : 230,407.92 = 90,719.16 : x
  2. Step 2: Convert to fraction form
    154,050/230,407.92 = 90,719.16/x
  3. Step 3: Cross multiply
    154,050x = 230,407.92 × 90,719.16
  4. Step 4: Simplify right side
    154,050x = 20,902,412,959.75
  5. Step 5: Solve for x
    x = 20,902,412,959.75/154,050
  6. Step 6: Final answer
    x = 135,685.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.