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Finding the Fourth Proportional to 101,506.27, 140,075.07 and 56,184.34

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Solution

The fourth proportional to 101,506.27, 140,075.07 and 56,184.34 is: 77,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,506.27 : 140,075.07 = 56,184.34 : x
  2. Step 2: Convert to fraction form
    101,506.27/140,075.07 = 56,184.34/x
  3. Step 3: Cross multiply
    101,506.27x = 140,075.07 × 56,184.34
  4. Step 4: Simplify right side
    101,506.27x = 7,870,024,658.03
  5. Step 5: Solve for x
    x = 7,870,024,658.03/101,506.27
  6. Step 6: Final answer
    x = 77,532.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.