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Finding the Fourth Proportional to 101,506.50, 140,075.46 and 56,186.46

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Solution

The fourth proportional to 101,506.50, 140,075.46 and 56,186.46 is: 77,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,506.50 : 140,075.46 = 56,186.46 : x
  2. Step 2: Convert to fraction form
    101,506.50/140,075.46 = 56,186.46/x
  3. Step 3: Cross multiply
    101,506.50x = 140,075.46 × 56,186.46
  4. Step 4: Simplify right side
    101,506.50x = 7,870,344,230.27
  5. Step 5: Solve for x
    x = 7,870,344,230.27/101,506.50
  6. Step 6: Final answer
    x = 77,535.37

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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.