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Finding the Fourth Proportional to 101,506.48, 140,075.37 and 56,184.55

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Solution

The fourth proportional to 101,506.48, 140,075.37 and 56,184.55 is: 77,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,506.48 : 140,075.37 = 56,184.55 : x
  2. Step 2: Convert to fraction form
    101,506.48/140,075.37 = 56,184.55/x
  3. Step 3: Cross multiply
    101,506.48x = 140,075.37 × 56,184.55
  4. Step 4: Simplify right side
    101,506.48x = 7,870,071,629.53
  5. Step 5: Solve for x
    x = 7,870,071,629.53/101,506.48
  6. Step 6: Final answer
    x = 77,532.70

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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.