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Finding the Fourth Proportional to 212,678.40, 293,492.16 and 117,193.92

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Solution

The fourth proportional to 212,678.40, 293,492.16 and 117,193.92 is: 161,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,678.40 : 293,492.16 = 117,193.92 : x
  2. Step 2: Convert to fraction form
    212,678.40/293,492.16 = 117,193.92/x
  3. Step 3: Cross multiply
    212,678.40x = 293,492.16 × 117,193.92
  4. Step 4: Simplify right side
    212,678.40x = 34,395,496,719.67
  5. Step 5: Solve for x
    x = 34,395,496,719.67/212,678.40
  6. Step 6: Final answer
    x = 161,725.39

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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.