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Finding the Fourth Proportional to 225,875.70, 311,718.24 and 135,214.13

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Solution

The fourth proportional to 225,875.70, 311,718.24 and 135,214.13 is: 186,601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,875.70 : 311,718.24 = 135,214.13 : x
  2. Step 2: Convert to fraction form
    225,875.70/311,718.24 = 135,214.13/x
  3. Step 3: Cross multiply
    225,875.70x = 311,718.24 × 135,214.13
  4. Step 4: Simplify right side
    225,875.70x = 42,148,709,068.14
  5. Step 5: Solve for x
    x = 42,148,709,068.14/225,875.70
  6. Step 6: Final answer
    x = 186,601.34

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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.