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Finding the Fourth Proportional to 209,721.66, 314,271.44 and 154,045.50

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Solution

The fourth proportional to 209,721.66, 314,271.44 and 154,045.50 is: 230,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,721.66 : 314,271.44 = 154,045.50 : x
  2. Step 2: Convert to fraction form
    209,721.66/314,271.44 = 154,045.50/x
  3. Step 3: Cross multiply
    209,721.66x = 314,271.44 × 154,045.50
  4. Step 4: Simplify right side
    209,721.66x = 48,412,101,110.52
  5. Step 5: Solve for x
    x = 48,412,101,110.52/209,721.66
  6. Step 6: Final answer
    x = 230,839.78

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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.