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Finding the Fourth Proportional to 216,565.75, 324,723.94 and 83,428.69

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Solution

The fourth proportional to 216,565.75, 324,723.94 and 83,428.69 is: 125,095.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,565.75 : 324,723.94 = 83,428.69 : x
  2. Step 2: Convert to fraction form
    216,565.75/324,723.94 = 83,428.69/x
  3. Step 3: Cross multiply
    216,565.75x = 324,723.94 × 83,428.69
  4. Step 4: Simplify right side
    216,565.75x = 27,091,292,925.84
  5. Step 5: Solve for x
    x = 27,091,292,925.84/216,565.75
  6. Step 6: Final answer
    x = 125,095.00

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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.