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Finding the Fourth Proportional to 214,993.76, 296,721.32 and 154,763.76

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Solution

The fourth proportional to 214,993.76, 296,721.32 and 154,763.76 is: 213,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,993.76 : 296,721.32 = 154,763.76 : x
  2. Step 2: Convert to fraction form
    214,993.76/296,721.32 = 154,763.76/x
  3. Step 3: Cross multiply
    214,993.76x = 296,721.32 × 154,763.76
  4. Step 4: Simplify right side
    214,993.76x = 45,921,707,155.36
  5. Step 5: Solve for x
    x = 45,921,707,155.36/214,993.76
  6. Step 6: Final answer
    x = 213,595.53

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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.