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Finding the Fourth Proportional to 96,830.80, 144,857.40 and 83,827.60

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Solution

The fourth proportional to 96,830.80, 144,857.40 and 83,827.60 is: 125,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,830.80 : 144,857.40 = 83,827.60 : x
  2. Step 2: Convert to fraction form
    96,830.80/144,857.40 = 83,827.60/x
  3. Step 3: Cross multiply
    96,830.80x = 144,857.40 × 83,827.60
  4. Step 4: Simplify right side
    96,830.80x = 12,143,048,184.24
  5. Step 5: Solve for x
    x = 12,143,048,184.24/96,830.80
  6. Step 6: Final answer
    x = 125,404.81

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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.