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Finding the Fourth Proportional to 201,513.42, 302,222.88 and 89,132.40

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Solution

The fourth proportional to 201,513.42, 302,222.88 and 89,132.40 is: 133,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,513.42 : 302,222.88 = 89,132.40 : x
  2. Step 2: Convert to fraction form
    201,513.42/302,222.88 = 89,132.40/x
  3. Step 3: Cross multiply
    201,513.42x = 302,222.88 × 89,132.40
  4. Step 4: Simplify right side
    201,513.42x = 26,937,850,629.31
  5. Step 5: Solve for x
    x = 26,937,850,629.31/201,513.42
  6. Step 6: Final answer
    x = 133,677.70

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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.