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Finding the Fourth Proportional to 270,426.34, 405,648.81 and 92,931.82

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Solution

The fourth proportional to 270,426.34, 405,648.81 and 92,931.82 is: 139,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,426.34 : 405,648.81 = 92,931.82 : x
  2. Step 2: Convert to fraction form
    270,426.34/405,648.81 = 92,931.82/x
  3. Step 3: Cross multiply
    270,426.34x = 405,648.81 × 92,931.82
  4. Step 4: Simplify right side
    270,426.34x = 37,697,682,194.13
  5. Step 5: Solve for x
    x = 37,697,682,194.13/270,426.34
  6. Step 6: Final answer
    x = 139,400.93

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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.