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Finding the Fourth Proportional to 200,856.27, 301,335.03 and 141,807.27

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Solution

The fourth proportional to 200,856.27, 301,335.03 and 141,807.27 is: 212,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,856.27 : 301,335.03 = 141,807.27 : x
  2. Step 2: Convert to fraction form
    200,856.27/301,335.03 = 141,807.27/x
  3. Step 3: Cross multiply
    200,856.27x = 301,335.03 × 141,807.27
  4. Step 4: Simplify right side
    200,856.27x = 42,731,497,959.67
  5. Step 5: Solve for x
    x = 42,731,497,959.67/200,856.27
  6. Step 6: Final answer
    x = 212,746.65

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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.