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Finding the Fourth Proportional to 314,550.84, 471,900.78 and 137,089.56

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Solution

The fourth proportional to 314,550.84, 471,900.78 and 137,089.56 is: 205,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,550.84 : 471,900.78 = 137,089.56 : x
  2. Step 2: Convert to fraction form
    314,550.84/471,900.78 = 137,089.56/x
  3. Step 3: Cross multiply
    314,550.84x = 471,900.78 × 137,089.56
  4. Step 4: Simplify right side
    314,550.84x = 64,692,670,293.86
  5. Step 5: Solve for x
    x = 64,692,670,293.86/314,550.84
  6. Step 6: Final answer
    x = 205,666.82

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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.