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Finding the Fourth Proportional to 186,967.50, 280,468.86 and 144,894.69

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Solution

The fourth proportional to 186,967.50, 280,468.86 and 144,894.69 is: 217,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,967.50 : 280,468.86 = 144,894.69 : x
  2. Step 2: Convert to fraction form
    186,967.50/280,468.86 = 144,894.69/x
  3. Step 3: Cross multiply
    186,967.50x = 280,468.86 × 144,894.69
  4. Step 4: Simplify right side
    186,967.50x = 40,638,448,524.35
  5. Step 5: Solve for x
    x = 40,638,448,524.35/186,967.50
  6. Step 6: Final answer
    x = 217,355.68

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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.