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Finding the Fourth Proportional to 254,813.80, 382,211.96 and 65,275.82

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Solution

The fourth proportional to 254,813.80, 382,211.96 and 65,275.82 is: 97,911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,813.80 : 382,211.96 = 65,275.82 : x
  2. Step 2: Convert to fraction form
    254,813.80/382,211.96 = 65,275.82/x
  3. Step 3: Cross multiply
    254,813.80x = 382,211.96 × 65,275.82
  4. Step 4: Simplify right side
    254,813.80x = 24,949,199,102.81
  5. Step 5: Solve for x
    x = 24,949,199,102.81/254,813.80
  6. Step 6: Final answer
    x = 97,911.49

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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.