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Finding the Fourth Proportional to 206,088.35, 309,247.34 and 111,316.46

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Solution

The fourth proportional to 206,088.35, 309,247.34 and 111,316.46 is: 167,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,088.35 : 309,247.34 = 111,316.46 : x
  2. Step 2: Convert to fraction form
    206,088.35/309,247.34 = 111,316.46/x
  3. Step 3: Cross multiply
    206,088.35x = 309,247.34 × 111,316.46
  4. Step 4: Simplify right side
    206,088.35x = 34,424,317,050.40
  5. Step 5: Solve for x
    x = 34,424,317,050.40/206,088.35
  6. Step 6: Final answer
    x = 167,036.70

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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.