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Finding the Fourth Proportional to 209,206.32, 313,776.48 and 173,894.64

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Solution

The fourth proportional to 209,206.32, 313,776.48 and 173,894.64 is: 260,814.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,206.32 : 313,776.48 = 173,894.64 : x
  2. Step 2: Convert to fraction form
    209,206.32/313,776.48 = 173,894.64/x
  3. Step 3: Cross multiply
    209,206.32x = 313,776.48 × 173,894.64
  4. Step 4: Simplify right side
    209,206.32x = 54,564,048,030.07
  5. Step 5: Solve for x
    x = 54,564,048,030.07/209,206.32
  6. Step 6: Final answer
    x = 260,814.53

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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.