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Finding the Fourth Proportional to 206,706.51, 285,237.54 and 125,065.17

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Solution

The fourth proportional to 206,706.51, 285,237.54 and 125,065.17 is: 172,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,706.51 : 285,237.54 = 125,065.17 : x
  2. Step 2: Convert to fraction form
    206,706.51/285,237.54 = 125,065.17/x
  3. Step 3: Cross multiply
    206,706.51x = 285,237.54 × 125,065.17
  4. Step 4: Simplify right side
    206,706.51x = 35,673,281,430.48
  5. Step 5: Solve for x
    x = 35,673,281,430.48/206,706.51
  6. Step 6: Final answer
    x = 172,579.38

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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.