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Finding the Fourth Proportional to 133,663.60, 200,284.46 and 49,307.68

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Solution

The fourth proportional to 133,663.60, 200,284.46 and 49,307.68 is: 73,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,663.60 : 200,284.46 = 49,307.68 : x
  2. Step 2: Convert to fraction form
    133,663.60/200,284.46 = 49,307.68/x
  3. Step 3: Cross multiply
    133,663.60x = 200,284.46 × 49,307.68
  4. Step 4: Simplify right side
    133,663.60x = 9,875,562,062.65
  5. Step 5: Solve for x
    x = 9,875,562,062.65/133,663.60
  6. Step 6: Final answer
    x = 73,883.71

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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.