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Finding the Fourth Proportional to 267,094.19, 400,662.04 and 77,557.69

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Solution

The fourth proportional to 267,094.19, 400,662.04 and 77,557.69 is: 116,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,094.19 : 400,662.04 = 77,557.69 : x
  2. Step 2: Convert to fraction form
    267,094.19/400,662.04 = 77,557.69/x
  3. Step 3: Cross multiply
    267,094.19x = 400,662.04 × 77,557.69
  4. Step 4: Simplify right side
    267,094.19x = 31,074,421,097.54
  5. Step 5: Solve for x
    x = 31,074,421,097.54/267,094.19
  6. Step 6: Final answer
    x = 116,342.56

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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.