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Finding the Fourth Proportional to 135,547.68, 203,311.80 and 68,946.24

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Solution

The fourth proportional to 135,547.68, 203,311.80 and 68,946.24 is: 103,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,547.68 : 203,311.80 = 68,946.24 : x
  2. Step 2: Convert to fraction form
    135,547.68/203,311.80 = 68,946.24/x
  3. Step 3: Cross multiply
    135,547.68x = 203,311.80 × 68,946.24
  4. Step 4: Simplify right side
    135,547.68x = 14,017,584,157.63
  5. Step 5: Solve for x
    x = 14,017,584,157.63/135,547.68
  6. Step 6: Final answer
    x = 103,414.42

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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.