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Finding the Fourth Proportional to 226,765.94, 312,832.29 and 146,219.33

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Solution

The fourth proportional to 226,765.94, 312,832.29 and 146,219.33 is: 201,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,765.94 : 312,832.29 = 146,219.33 : x
  2. Step 2: Convert to fraction form
    226,765.94/312,832.29 = 146,219.33/x
  3. Step 3: Cross multiply
    226,765.94x = 312,832.29 × 146,219.33
  4. Step 4: Simplify right side
    226,765.94x = 45,742,127,846.17
  5. Step 5: Solve for x
    x = 45,742,127,846.17/226,765.94
  6. Step 6: Final answer
    x = 201,715.16

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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.