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Finding the Fourth Proportional to 191,946.30, 288,049.05 and 107,706.30

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Solution

The fourth proportional to 191,946.30, 288,049.05 and 107,706.30 is: 161,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,946.30 : 288,049.05 = 107,706.30 : x
  2. Step 2: Convert to fraction form
    191,946.30/288,049.05 = 107,706.30/x
  3. Step 3: Cross multiply
    191,946.30x = 288,049.05 × 107,706.30
  4. Step 4: Simplify right side
    191,946.30x = 31,024,697,394.02
  5. Step 5: Solve for x
    x = 31,024,697,394.02/191,946.30
  6. Step 6: Final answer
    x = 161,632.17

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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.