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Finding the Fourth Proportional to 157,834, 217,809.63 and 86,214.04

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Solution

The fourth proportional to 157,834, 217,809.63 and 86,214.04 is: 118,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,834 : 217,809.63 = 86,214.04 : x
  2. Step 2: Convert to fraction form
    157,834/217,809.63 = 86,214.04/x
  3. Step 3: Cross multiply
    157,834x = 217,809.63 × 86,214.04
  4. Step 4: Simplify right side
    157,834x = 18,778,248,153.21
  5. Step 5: Solve for x
    x = 18,778,248,153.21/157,834
  6. Step 6: Final answer
    x = 118,974.67

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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.