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Finding the Fourth Proportional to 209,536.47, 314,353.50 and 59,778.81

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Solution

The fourth proportional to 209,536.47, 314,353.50 and 59,778.81 is: 89,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,536.47 : 314,353.50 = 59,778.81 : x
  2. Step 2: Convert to fraction form
    209,536.47/314,353.50 = 59,778.81/x
  3. Step 3: Cross multiply
    209,536.47x = 314,353.50 × 59,778.81
  4. Step 4: Simplify right side
    209,536.47x = 18,791,678,149.34
  5. Step 5: Solve for x
    x = 18,791,678,149.34/209,536.47
  6. Step 6: Final answer
    x = 89,682.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.