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Finding the Fourth Proportional to 85,138.51, 127,510.93 and 82,186.06

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Solution

The fourth proportional to 85,138.51, 127,510.93 and 82,186.06 is: 123,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,138.51 : 127,510.93 = 82,186.06 : x
  2. Step 2: Convert to fraction form
    85,138.51/127,510.93 = 82,186.06/x
  3. Step 3: Cross multiply
    85,138.51x = 127,510.93 × 82,186.06
  4. Step 4: Simplify right side
    85,138.51x = 10,479,620,943.64
  5. Step 5: Solve for x
    x = 10,479,620,943.64/85,138.51
  6. Step 6: Final answer
    x = 123,089.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.