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Finding the Fourth Proportional to 82,001.15, 122,807.33 and 82,001.15

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Solution

The fourth proportional to 82,001.15, 122,807.33 and 82,001.15 is: 122,807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,001.15 : 122,807.33 = 82,001.15 : x
  2. Step 2: Convert to fraction form
    82,001.15/122,807.33 = 82,001.15/x
  3. Step 3: Cross multiply
    82,001.15x = 122,807.33 × 82,001.15
  4. Step 4: Simplify right side
    82,001.15x = 10,070,341,878.42
  5. Step 5: Solve for x
    x = 10,070,341,878.42/82,001.15
  6. Step 6: Final answer
    x = 122,807.33

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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.