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Finding the Fourth Proportional to 341,838.64, 512,822.76 and 142,050.56

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Solution

The fourth proportional to 341,838.64, 512,822.76 and 142,050.56 is: 213,102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,838.64 : 512,822.76 = 142,050.56 : x
  2. Step 2: Convert to fraction form
    341,838.64/512,822.76 = 142,050.56/x
  3. Step 3: Cross multiply
    341,838.64x = 512,822.76 × 142,050.56
  4. Step 4: Simplify right side
    341,838.64x = 72,846,760,238.75
  5. Step 5: Solve for x
    x = 72,846,760,238.75/341,838.64
  6. Step 6: Final answer
    x = 213,102.77

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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.