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Finding the Fourth Proportional to 209,534.84, 314,351.06 and 59,777.18

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Solution

The fourth proportional to 209,534.84, 314,351.06 and 59,777.18 is: 89,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,534.84 : 314,351.06 = 59,777.18 : x
  2. Step 2: Convert to fraction form
    209,534.84/314,351.06 = 59,777.18/x
  3. Step 3: Cross multiply
    209,534.84x = 314,351.06 × 59,777.18
  4. Step 4: Simplify right side
    209,534.84x = 18,791,019,896.81
  5. Step 5: Solve for x
    x = 18,791,019,896.81/209,534.84
  6. Step 6: Final answer
    x = 89,679.69

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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.