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Finding the Fourth Proportional to 200,906.48, 301,359.76 and 156,566.40

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Solution

The fourth proportional to 200,906.48, 301,359.76 and 156,566.40 is: 234,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,906.48 : 301,359.76 = 156,566.40 : x
  2. Step 2: Convert to fraction form
    200,906.48/301,359.76 = 156,566.40/x
  3. Step 3: Cross multiply
    200,906.48x = 301,359.76 × 156,566.40
  4. Step 4: Simplify right side
    200,906.48x = 47,182,812,728.06
  5. Step 5: Solve for x
    x = 47,182,812,728.06/200,906.48
  6. Step 6: Final answer
    x = 234,849.63

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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.