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Finding the Fourth Proportional to 209,124.68, 313,509.66 and 82,854.13

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Solution

The fourth proportional to 209,124.68, 313,509.66 and 82,854.13 is: 124,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,124.68 : 313,509.66 = 82,854.13 : x
  2. Step 2: Convert to fraction form
    209,124.68/313,509.66 = 82,854.13/x
  3. Step 3: Cross multiply
    209,124.68x = 313,509.66 × 82,854.13
  4. Step 4: Simplify right side
    209,124.68x = 25,975,570,125.90
  5. Step 5: Solve for x
    x = 25,975,570,125.90/209,124.68
  6. Step 6: Final answer
    x = 124,210.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.