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Finding the Fourth Proportional to 277,856.02, 416,784.02 and 67,492.54

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Solution

The fourth proportional to 277,856.02, 416,784.02 and 67,492.54 is: 101,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,856.02 : 416,784.02 = 67,492.54 : x
  2. Step 2: Convert to fraction form
    277,856.02/416,784.02 = 67,492.54/x
  3. Step 3: Cross multiply
    277,856.02x = 416,784.02 × 67,492.54
  4. Step 4: Simplify right side
    277,856.02x = 28,129,812,141.21
  5. Step 5: Solve for x
    x = 28,129,812,141.21/277,856.02
  6. Step 6: Final answer
    x = 101,238.81

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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.