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Finding the Fourth Proportional to 151,547.78, 227,321.64 and 40,739.78

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Solution

The fourth proportional to 151,547.78, 227,321.64 and 40,739.78 is: 61,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,547.78 : 227,321.64 = 40,739.78 : x
  2. Step 2: Convert to fraction form
    151,547.78/227,321.64 = 40,739.78/x
  3. Step 3: Cross multiply
    151,547.78x = 227,321.64 × 40,739.78
  4. Step 4: Simplify right side
    151,547.78x = 9,261,033,602.84
  5. Step 5: Solve for x
    x = 9,261,033,602.84/151,547.78
  6. Step 6: Final answer
    x = 61,109.66

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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.