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Finding the Fourth Proportional to 101,813.49, 140,510.34 and 56,500.07

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Solution

The fourth proportional to 101,813.49, 140,510.34 and 56,500.07 is: 77,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,813.49 : 140,510.34 = 56,500.07 : x
  2. Step 2: Convert to fraction form
    101,813.49/140,510.34 = 56,500.07/x
  3. Step 3: Cross multiply
    101,813.49x = 140,510.34 × 56,500.07
  4. Step 4: Simplify right side
    101,813.49x = 7,938,843,343.17
  5. Step 5: Solve for x
    x = 7,938,843,343.17/101,813.49
  6. Step 6: Final answer
    x = 77,974.38

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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.