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Finding the Fourth Proportional to 209,805.57, 289,527.99 and 114,312.93

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Solution

The fourth proportional to 209,805.57, 289,527.99 and 114,312.93 is: 157,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,805.57 : 289,527.99 = 114,312.93 : x
  2. Step 2: Convert to fraction form
    209,805.57/289,527.99 = 114,312.93/x
  3. Step 3: Cross multiply
    209,805.57x = 289,527.99 × 114,312.93
  4. Step 4: Simplify right side
    209,805.57x = 33,096,792,853.91
  5. Step 5: Solve for x
    x = 33,096,792,853.91/209,805.57
  6. Step 6: Final answer
    x = 157,749.83

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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.