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Finding the Fourth Proportional to 212,588.84, 293,361.50 and 132,014.66

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Solution

The fourth proportional to 212,588.84, 293,361.50 and 132,014.66 is: 182,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,588.84 : 293,361.50 = 132,014.66 : x
  2. Step 2: Convert to fraction form
    212,588.84/293,361.50 = 132,014.66/x
  3. Step 3: Cross multiply
    212,588.84x = 293,361.50 × 132,014.66
  4. Step 4: Simplify right side
    212,588.84x = 38,728,018,679.59
  5. Step 5: Solve for x
    x = 38,728,018,679.59/212,588.84
  6. Step 6: Final answer
    x = 182,173.34

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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.