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Finding the Fourth Proportional to 209,864.84, 289,605 and 114,369.48

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Solution

The fourth proportional to 209,864.84, 289,605 and 114,369.48 is: 157,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,864.84 : 289,605 = 114,369.48 : x
  2. Step 2: Convert to fraction form
    209,864.84/289,605 = 114,369.48/x
  3. Step 3: Cross multiply
    209,864.84x = 289,605 × 114,369.48
  4. Step 4: Simplify right side
    209,864.84x = 33,121,973,255.40
  5. Step 5: Solve for x
    x = 33,121,973,255.40/209,864.84
  6. Step 6: Final answer
    x = 157,825.26

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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.