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Finding the Fourth Proportional to 133,746.86, 200,646.51 and 49,507.73

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Solution

The fourth proportional to 133,746.86, 200,646.51 and 49,507.73 is: 74,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,746.86 : 200,646.51 = 49,507.73 : x
  2. Step 2: Convert to fraction form
    133,746.86/200,646.51 = 49,507.73/x
  3. Step 3: Cross multiply
    133,746.86x = 200,646.51 × 49,507.73
  4. Step 4: Simplify right side
    133,746.86x = 9,933,553,744.14
  5. Step 5: Solve for x
    x = 9,933,553,744.14/133,746.86
  6. Step 6: Final answer
    x = 74,271.31

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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.