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Finding the Fourth Proportional to 212,598, 293,385.24 and 117,104.40

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Solution

The fourth proportional to 212,598, 293,385.24 and 117,104.40 is: 161,604.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,598 : 293,385.24 = 117,104.40 : x
  2. Step 2: Convert to fraction form
    212,598/293,385.24 = 117,104.40/x
  3. Step 3: Cross multiply
    212,598x = 293,385.24 × 117,104.40
  4. Step 4: Simplify right side
    212,598x = 34,356,702,499.06
  5. Step 5: Solve for x
    x = 34,356,702,499.06/212,598
  6. Step 6: Final answer
    x = 161,604.07

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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.