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Finding the Fourth Proportional to 146,197.83, 201,754.71 and 85,769.51

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Solution

The fourth proportional to 146,197.83, 201,754.71 and 85,769.51 is: 118,362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,197.83 : 201,754.71 = 85,769.51 : x
  2. Step 2: Convert to fraction form
    146,197.83/201,754.71 = 85,769.51/x
  3. Step 3: Cross multiply
    146,197.83x = 201,754.71 × 85,769.51
  4. Step 4: Simplify right side
    146,197.83x = 17,304,402,616.89
  5. Step 5: Solve for x
    x = 17,304,402,616.89/146,197.83
  6. Step 6: Final answer
    x = 118,362.92

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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.