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Finding the Fourth Proportional to 201,869.90, 302,804.85 and 96,634.70

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Solution

The fourth proportional to 201,869.90, 302,804.85 and 96,634.70 is: 144,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,869.90 : 302,804.85 = 96,634.70 : x
  2. Step 2: Convert to fraction form
    201,869.90/302,804.85 = 96,634.70/x
  3. Step 3: Cross multiply
    201,869.90x = 302,804.85 × 96,634.70
  4. Step 4: Simplify right side
    201,869.90x = 29,261,455,838.30
  5. Step 5: Solve for x
    x = 29,261,455,838.30/201,869.90
  6. Step 6: Final answer
    x = 144,952.05

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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.