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Finding the Fourth Proportional to 101,506.77, 140,075.76 and 56,184.84

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Solution

The fourth proportional to 101,506.77, 140,075.76 and 56,184.84 is: 77,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,506.77 : 140,075.76 = 56,184.84 : x
  2. Step 2: Convert to fraction form
    101,506.77/140,075.76 = 56,184.84/x
  3. Step 3: Cross multiply
    101,506.77x = 140,075.76 × 56,184.84
  4. Step 4: Simplify right side
    101,506.77x = 7,870,134,163.48
  5. Step 5: Solve for x
    x = 7,870,134,163.48/101,506.77
  6. Step 6: Final answer
    x = 77,533.10

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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.