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Finding the Fourth Proportional to 151,436.40, 227,165.40 and 46,255.20

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Solution

The fourth proportional to 151,436.40, 227,165.40 and 46,255.20 is: 69,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,436.40 : 227,165.40 = 46,255.20 : x
  2. Step 2: Convert to fraction form
    151,436.40/227,165.40 = 46,255.20/x
  3. Step 3: Cross multiply
    151,436.40x = 227,165.40 × 46,255.20
  4. Step 4: Simplify right side
    151,436.40x = 10,507,581,010.08
  5. Step 5: Solve for x
    x = 10,507,581,010.08/151,436.40
  6. Step 6: Final answer
    x = 69,386.10

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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.