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Finding the Fourth Proportional to 213,801.15, 294,804.14 and 159,913.47

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Solution

The fourth proportional to 213,801.15, 294,804.14 and 159,913.47 is: 220,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,801.15 : 294,804.14 = 159,913.47 : x
  2. Step 2: Convert to fraction form
    213,801.15/294,804.14 = 159,913.47/x
  3. Step 3: Cross multiply
    213,801.15x = 294,804.14 × 159,913.47
  4. Step 4: Simplify right side
    213,801.15x = 47,143,152,997.77
  5. Step 5: Solve for x
    x = 47,143,152,997.77/213,801.15
  6. Step 6: Final answer
    x = 220,500.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.