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Finding the Fourth Proportional to 214,657.79, 296,212.89 and 119,156.96

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Solution

The fourth proportional to 214,657.79, 296,212.89 and 119,156.96 is: 164,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,657.79 : 296,212.89 = 119,156.96 : x
  2. Step 2: Convert to fraction form
    214,657.79/296,212.89 = 119,156.96/x
  3. Step 3: Cross multiply
    214,657.79x = 296,212.89 × 119,156.96
  4. Step 4: Simplify right side
    214,657.79x = 35,295,826,004.15
  5. Step 5: Solve for x
    x = 35,295,826,004.15/214,657.79
  6. Step 6: Final answer
    x = 164,428.35

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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.