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Finding the Fourth Proportional to 200,711.58, 301,051.98 and 74,292.48

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Solution

The fourth proportional to 200,711.58, 301,051.98 and 74,292.48 is: 111,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,711.58 : 301,051.98 = 74,292.48 : x
  2. Step 2: Convert to fraction form
    200,711.58/301,051.98 = 74,292.48/x
  3. Step 3: Cross multiply
    200,711.58x = 301,051.98 × 74,292.48
  4. Step 4: Simplify right side
    200,711.58x = 22,365,898,203.11
  5. Step 5: Solve for x
    x = 22,365,898,203.11/200,711.58
  6. Step 6: Final answer
    x = 111,433.02

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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.