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Finding the Fourth Proportional to 212,410.28, 293,123.86 and 116,914.92

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Solution

The fourth proportional to 212,410.28, 293,123.86 and 116,914.92 is: 161,341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,410.28 : 293,123.86 = 116,914.92 : x
  2. Step 2: Convert to fraction form
    212,410.28/293,123.86 = 116,914.92/x
  3. Step 3: Cross multiply
    212,410.28x = 293,123.86 × 116,914.92
  4. Step 4: Simplify right side
    212,410.28x = 34,270,552,641.99
  5. Step 5: Solve for x
    x = 34,270,552,641.99/212,410.28
  6. Step 6: Final answer
    x = 161,341.31

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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.