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Finding the Fourth Proportional to 212,706.68, 293,537.16 and 117,216.77

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Solution

The fourth proportional to 212,706.68, 293,537.16 and 117,216.77 is: 161,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,706.68 : 293,537.16 = 117,216.77 : x
  2. Step 2: Convert to fraction form
    212,706.68/293,537.16 = 117,216.77/x
  3. Step 3: Cross multiply
    212,706.68x = 293,537.16 × 117,216.77
  4. Step 4: Simplify right side
    212,706.68x = 34,407,476,302.49
  5. Step 5: Solve for x
    x = 34,407,476,302.49/212,706.68
  6. Step 6: Final answer
    x = 161,760.21

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1.5x scale

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.