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Finding the Fourth Proportional to 191,664.46, 287,514.51 and 65,262.34

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Solution

The fourth proportional to 191,664.46, 287,514.51 and 65,262.34 is: 97,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,664.46 : 287,514.51 = 65,262.34 : x
  2. Step 2: Convert to fraction form
    191,664.46/287,514.51 = 65,262.34/x
  3. Step 3: Cross multiply
    191,664.46x = 287,514.51 × 65,262.34
  4. Step 4: Simplify right side
    191,664.46x = 18,763,869,706.55
  5. Step 5: Solve for x
    x = 18,763,869,706.55/191,664.46
  6. Step 6: Final answer
    x = 97,899.58

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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.