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Finding the Fourth Proportional to 118,802.79, 178,189.30 and 38,834.06

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Solution

The fourth proportional to 118,802.79, 178,189.30 and 38,834.06 is: 58,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,802.79 : 178,189.30 = 38,834.06 : x
  2. Step 2: Convert to fraction form
    118,802.79/178,189.30 = 38,834.06/x
  3. Step 3: Cross multiply
    118,802.79x = 178,189.30 × 38,834.06
  4. Step 4: Simplify right side
    118,802.79x = 6,919,813,967.56
  5. Step 5: Solve for x
    x = 6,919,813,967.56/118,802.79
  6. Step 6: Final answer
    x = 58,246.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.