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Finding the Fourth Proportional to 85,829.30, 128,743.95 and 85,829.30

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Solution

The fourth proportional to 85,829.30, 128,743.95 and 85,829.30 is: 128,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,829.30 : 128,743.95 = 85,829.30 : x
  2. Step 2: Convert to fraction form
    85,829.30/128,743.95 = 85,829.30/x
  3. Step 3: Cross multiply
    85,829.30x = 128,743.95 × 85,829.30
  4. Step 4: Simplify right side
    85,829.30x = 11,050,003,107.74
  5. Step 5: Solve for x
    x = 11,050,003,107.74/85,829.30
  6. Step 6: Final answer
    x = 128,743.95

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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.