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Finding the Fourth Proportional to 185,409.32, 277,949.03 and 67,054.34

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Solution

The fourth proportional to 185,409.32, 277,949.03 and 67,054.34 is: 100,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,409.32 : 277,949.03 = 67,054.34 : x
  2. Step 2: Convert to fraction form
    185,409.32/277,949.03 = 67,054.34/x
  3. Step 3: Cross multiply
    185,409.32x = 277,949.03 × 67,054.34
  4. Step 4: Simplify right side
    185,409.32x = 18,637,688,760.29
  5. Step 5: Solve for x
    x = 18,637,688,760.29/185,409.32
  6. Step 6: Final answer
    x = 100,521.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.