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Finding the Fourth Proportional to 217,643.63, 326,467.53 and 65,841.93

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Solution

The fourth proportional to 217,643.63, 326,467.53 and 65,841.93 is: 98,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,643.63 : 326,467.53 = 65,841.93 : x
  2. Step 2: Convert to fraction form
    217,643.63/326,467.53 = 65,841.93/x
  3. Step 3: Cross multiply
    217,643.63x = 326,467.53 × 65,841.93
  4. Step 4: Simplify right side
    217,643.63x = 21,495,252,257.53
  5. Step 5: Solve for x
    x = 21,495,252,257.53/217,643.63
  6. Step 6: Final answer
    x = 98,763.53

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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.