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Finding the Fourth Proportional to 133,436.04, 200,098.68 and 49,201

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Solution

The fourth proportional to 133,436.04, 200,098.68 and 49,201 is: 73,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,436.04 : 200,098.68 = 49,201 : x
  2. Step 2: Convert to fraction form
    133,436.04/200,098.68 = 49,201/x
  3. Step 3: Cross multiply
    133,436.04x = 200,098.68 × 49,201
  4. Step 4: Simplify right side
    133,436.04x = 9,845,055,154.68
  5. Step 5: Solve for x
    x = 9,845,055,154.68/133,436.04
  6. Step 6: Final answer
    x = 73,781.08

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1.5x scale

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.