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Finding the Fourth Proportional to 164,773.84, 227,371.08 and 101,114.32

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Solution

The fourth proportional to 164,773.84, 227,371.08 and 101,114.32 is: 139,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,773.84 : 227,371.08 = 101,114.32 : x
  2. Step 2: Convert to fraction form
    164,773.84/227,371.08 = 101,114.32/x
  3. Step 3: Cross multiply
    164,773.84x = 227,371.08 × 101,114.32
  4. Step 4: Simplify right side
    164,773.84x = 22,990,472,141.87
  5. Step 5: Solve for x
    x = 22,990,472,141.87/164,773.84
  6. Step 6: Final answer
    x = 139,527.44

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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.