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Finding the Fourth Proportional to 84,097.86, 114,500.40 and 83,835.42

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Solution

The fourth proportional to 84,097.86, 114,500.40 and 83,835.42 is: 114,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,097.86 : 114,500.40 = 83,835.42 : x
  2. Step 2: Convert to fraction form
    84,097.86/114,500.40 = 83,835.42/x
  3. Step 3: Cross multiply
    84,097.86x = 114,500.40 × 83,835.42
  4. Step 4: Simplify right side
    84,097.86x = 9,599,189,124.17
  5. Step 5: Solve for x
    x = 9,599,189,124.17/84,097.86
  6. Step 6: Final answer
    x = 114,143.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.