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Finding the Fourth Proportional to 214,688.88, 296,269.20 and 117,894.48

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Solution

The fourth proportional to 214,688.88, 296,269.20 and 117,894.48 is: 162,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,688.88 : 296,269.20 = 117,894.48 : x
  2. Step 2: Convert to fraction form
    214,688.88/296,269.20 = 117,894.48/x
  3. Step 3: Cross multiply
    214,688.88x = 296,269.20 × 117,894.48
  4. Step 4: Simplify right side
    214,688.88x = 34,928,503,274.02
  5. Step 5: Solve for x
    x = 34,928,503,274.02/214,688.88
  6. Step 6: Final answer
    x = 162,693.58

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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.