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Finding the Fourth Proportional to 107,536.50, 161,326.62 and 45,207

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Solution

The fourth proportional to 107,536.50, 161,326.62 and 45,207 is: 67,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,536.50 : 161,326.62 = 45,207 : x
  2. Step 2: Convert to fraction form
    107,536.50/161,326.62 = 45,207/x
  3. Step 3: Cross multiply
    107,536.50x = 161,326.62 × 45,207
  4. Step 4: Simplify right side
    107,536.50x = 7,293,092,510.34
  5. Step 5: Solve for x
    x = 7,293,092,510.34/107,536.50
  6. Step 6: Final answer
    x = 67,819.69

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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.