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Finding the Fourth Proportional to 270,410.32, 405,681.84 and 92,919.84

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Solution

The fourth proportional to 270,410.32, 405,681.84 and 92,919.84 is: 139,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,410.32 : 405,681.84 = 92,919.84 : x
  2. Step 2: Convert to fraction form
    270,410.32/405,681.84 = 92,919.84/x
  3. Step 3: Cross multiply
    270,410.32x = 405,681.84 × 92,919.84
  4. Step 4: Simplify right side
    270,410.32x = 37,695,891,663.71
  5. Step 5: Solve for x
    x = 37,695,891,663.71/270,410.32
  6. Step 6: Final answer
    x = 139,402.56

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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.