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Finding the Fourth Proportional to 204,689.86, 305,595.53 and 156,405.77

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Solution

The fourth proportional to 204,689.86, 305,595.53 and 156,405.77 is: 233,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,689.86 : 305,595.53 = 156,405.77 : x
  2. Step 2: Convert to fraction form
    204,689.86/305,595.53 = 156,405.77/x
  3. Step 3: Cross multiply
    204,689.86x = 305,595.53 × 156,405.77
  4. Step 4: Simplify right side
    204,689.86x = 47,796,903,600.71
  5. Step 5: Solve for x
    x = 47,796,903,600.71/204,689.86
  6. Step 6: Final answer
    x = 233,508.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.