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Finding the Fourth Proportional to 285,165.81, 393,524.06 and 157,838.67

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Solution

The fourth proportional to 285,165.81, 393,524.06 and 157,838.67 is: 217,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,165.81 : 393,524.06 = 157,838.67 : x
  2. Step 2: Convert to fraction form
    285,165.81/393,524.06 = 157,838.67/x
  3. Step 3: Cross multiply
    285,165.81x = 393,524.06 × 157,838.67
  4. Step 4: Simplify right side
    285,165.81x = 62,113,313,454.21
  5. Step 5: Solve for x
    x = 62,113,313,454.21/285,165.81
  6. Step 6: Final answer
    x = 217,814.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.