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Finding the Fourth Proportional to 151,617.28, 227,345.50 and 46,408

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Solution

The fourth proportional to 151,617.28, 227,345.50 and 46,408 is: 69,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,617.28 : 227,345.50 = 46,408 : x
  2. Step 2: Convert to fraction form
    151,617.28/227,345.50 = 46,408/x
  3. Step 3: Cross multiply
    151,617.28x = 227,345.50 × 46,408
  4. Step 4: Simplify right side
    151,617.28x = 10,550,649,964
  5. Step 5: Solve for x
    x = 10,550,649,964/151,617.28
  6. Step 6: Final answer
    x = 69,587.38

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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.