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Finding the Fourth Proportional to 209,257.35, 313,838.73 and 59,494.35

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Solution

The fourth proportional to 209,257.35, 313,838.73 and 59,494.35 is: 89,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,257.35 : 313,838.73 = 59,494.35 : x
  2. Step 2: Convert to fraction form
    209,257.35/313,838.73 = 59,494.35/x
  3. Step 3: Cross multiply
    209,257.35x = 313,838.73 × 59,494.35
  4. Step 4: Simplify right side
    209,257.35x = 18,671,631,246.18
  5. Step 5: Solve for x
    x = 18,671,631,246.18/209,257.35
  6. Step 6: Final answer
    x = 89,228.08

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1.5x scale

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.