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Finding the Fourth Proportional to 277,098.80, 415,648.20 and 99,611.60

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Solution

The fourth proportional to 277,098.80, 415,648.20 and 99,611.60 is: 149,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,098.80 : 415,648.20 = 99,611.60 : x
  2. Step 2: Convert to fraction form
    277,098.80/415,648.20 = 99,611.60/x
  3. Step 3: Cross multiply
    277,098.80x = 415,648.20 × 99,611.60
  4. Step 4: Simplify right side
    277,098.80x = 41,403,382,239.12
  5. Step 5: Solve for x
    x = 41,403,382,239.12/277,098.80
  6. Step 6: Final answer
    x = 149,417.40

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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.