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Finding the Fourth Proportional to 268,152.71, 402,228.99 and 68,465.93

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Solution

The fourth proportional to 268,152.71, 402,228.99 and 68,465.93 is: 102,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,152.71 : 402,228.99 = 68,465.93 : x
  2. Step 2: Convert to fraction form
    268,152.71/402,228.99 = 68,465.93/x
  3. Step 3: Cross multiply
    268,152.71x = 402,228.99 × 68,465.93
  4. Step 4: Simplify right side
    268,152.71x = 27,538,979,862.17
  5. Step 5: Solve for x
    x = 27,538,979,862.17/268,152.71
  6. Step 6: Final answer
    x = 102,698.87

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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.