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Finding the Fourth Proportional to 101,570.53, 152,297.47 and 54,127.21

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Solution

The fourth proportional to 101,570.53, 152,297.47 and 54,127.21 is: 81,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,570.53 : 152,297.47 = 54,127.21 : x
  2. Step 2: Convert to fraction form
    101,570.53/152,297.47 = 54,127.21/x
  3. Step 3: Cross multiply
    101,570.53x = 152,297.47 × 54,127.21
  4. Step 4: Simplify right side
    101,570.53x = 8,243,437,141.16
  5. Step 5: Solve for x
    x = 8,243,437,141.16/101,570.53
  6. Step 6: Final answer
    x = 81,159.73

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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.