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Finding the Fourth Proportional to 200,777.68, 277,041.72 and 115,878.88

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Solution

The fourth proportional to 200,777.68, 277,041.72 and 115,878.88 is: 159,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,777.68 : 277,041.72 = 115,878.88 : x
  2. Step 2: Convert to fraction form
    200,777.68/277,041.72 = 115,878.88/x
  3. Step 3: Cross multiply
    200,777.68x = 277,041.72 × 115,878.88
  4. Step 4: Simplify right side
    200,777.68x = 32,103,284,226.87
  5. Step 5: Solve for x
    x = 32,103,284,226.87/200,777.68
  6. Step 6: Final answer
    x = 159,894.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.