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Finding the Fourth Proportional to 268,952.43, 403,312.01 and 91,411.77

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Solution

The fourth proportional to 268,952.43, 403,312.01 and 91,411.77 is: 137,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,952.43 : 403,312.01 = 91,411.77 : x
  2. Step 2: Convert to fraction form
    268,952.43/403,312.01 = 91,411.77/x
  3. Step 3: Cross multiply
    268,952.43x = 403,312.01 × 91,411.77
  4. Step 4: Simplify right side
    268,952.43x = 36,867,464,239.30
  5. Step 5: Solve for x
    x = 36,867,464,239.30/268,952.43
  6. Step 6: Final answer
    x = 137,078.01

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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.