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Finding the Fourth Proportional to 145,297.30, 200,510.45 and 81,635.06

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Solution

The fourth proportional to 145,297.30, 200,510.45 and 81,635.06 is: 112,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,297.30 : 200,510.45 = 81,635.06 : x
  2. Step 2: Convert to fraction form
    145,297.30/200,510.45 = 81,635.06/x
  3. Step 3: Cross multiply
    145,297.30x = 200,510.45 × 81,635.06
  4. Step 4: Simplify right side
    145,297.30x = 16,368,682,616.38
  5. Step 5: Solve for x
    x = 16,368,682,616.38/145,297.30
  6. Step 6: Final answer
    x = 112,656.48

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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.