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Finding the Fourth Proportional to 212,792.38, 293,655.46 and 117,302.50

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Solution

The fourth proportional to 212,792.38, 293,655.46 and 117,302.50 is: 161,878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,792.38 : 293,655.46 = 117,302.50 : x
  2. Step 2: Convert to fraction form
    212,792.38/293,655.46 = 117,302.50/x
  3. Step 3: Cross multiply
    212,792.38x = 293,655.46 × 117,302.50
  4. Step 4: Simplify right side
    212,792.38x = 34,446,519,596.65
  5. Step 5: Solve for x
    x = 34,446,519,596.65/212,792.38
  6. Step 6: Final answer
    x = 161,878.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.