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Finding the Fourth Proportional to 341,856.74, 512,833.70 and 105,219.14

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Solution

The fourth proportional to 341,856.74, 512,833.70 and 105,219.14 is: 157,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,856.74 : 512,833.70 = 105,219.14 : x
  2. Step 2: Convert to fraction form
    341,856.74/512,833.70 = 105,219.14/x
  3. Step 3: Cross multiply
    341,856.74x = 512,833.70 × 105,219.14
  4. Step 4: Simplify right side
    341,856.74x = 53,959,920,877.02
  5. Step 5: Solve for x
    x = 53,959,920,877.02/341,856.74
  6. Step 6: Final answer
    x = 157,843.67

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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.