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Finding the Fourth Proportional to 209,361.39, 314,034.66 and 59,602.47

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Solution

The fourth proportional to 209,361.39, 314,034.66 and 59,602.47 is: 89,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,361.39 : 314,034.66 = 59,602.47 : x
  2. Step 2: Convert to fraction form
    209,361.39/314,034.66 = 59,602.47/x
  3. Step 3: Cross multiply
    209,361.39x = 314,034.66 × 59,602.47
  4. Step 4: Simplify right side
    209,361.39x = 18,717,241,401.61
  5. Step 5: Solve for x
    x = 18,717,241,401.61/209,361.39
  6. Step 6: Final answer
    x = 89,401.59

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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.