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Finding the Fourth Proportional to 201,838.60, 302,822.70 and 89,475.40

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Solution

The fourth proportional to 201,838.60, 302,822.70 and 89,475.40 is: 134,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,838.60 : 302,822.70 = 89,475.40 : x
  2. Step 2: Convert to fraction form
    201,838.60/302,822.70 = 89,475.40/x
  3. Step 3: Cross multiply
    201,838.60x = 302,822.70 × 89,475.40
  4. Step 4: Simplify right side
    201,838.60x = 27,095,182,211.58
  5. Step 5: Solve for x
    x = 27,095,182,211.58/201,838.60
  6. Step 6: Final answer
    x = 134,241.83

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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.