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Finding the Fourth Proportional to 123,277.82, 170,114 and 69,567.84

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Solution

The fourth proportional to 123,277.82, 170,114 and 69,567.84 is: 95,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,277.82 : 170,114 = 69,567.84 : x
  2. Step 2: Convert to fraction form
    123,277.82/170,114 = 69,567.84/x
  3. Step 3: Cross multiply
    123,277.82x = 170,114 × 69,567.84
  4. Step 4: Simplify right side
    123,277.82x = 11,834,463,533.76
  5. Step 5: Solve for x
    x = 11,834,463,533.76/123,277.82
  6. Step 6: Final answer
    x = 95,998.32

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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.