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Finding the Fourth Proportional to 209,472.00, 314,208.57 and 57,671.08

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Solution

The fourth proportional to 209,472.00, 314,208.57 and 57,671.08 is: 86,506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,472.00 : 314,208.57 = 57,671.08 : x
  2. Step 2: Convert to fraction form
    209,472.00/314,208.57 = 57,671.08/x
  3. Step 3: Cross multiply
    209,472.00x = 314,208.57 × 57,671.08
  4. Step 4: Simplify right side
    209,472.00x = 18,120,746,241.65
  5. Step 5: Solve for x
    x = 18,120,746,241.65/209,472.00
  6. Step 6: Final answer
    x = 86,506.77

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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.