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Finding the Fourth Proportional to 107,477.21, 160,969.93 and 51,356.77

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Solution

The fourth proportional to 107,477.21, 160,969.93 and 51,356.77 is: 76,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,477.21 : 160,969.93 = 51,356.77 : x
  2. Step 2: Convert to fraction form
    107,477.21/160,969.93 = 51,356.77/x
  3. Step 3: Cross multiply
    107,477.21x = 160,969.93 × 51,356.77
  4. Step 4: Simplify right side
    107,477.21x = 8,266,895,671.93
  5. Step 5: Solve for x
    x = 8,266,895,671.93/107,477.21
  6. Step 6: Final answer
    x = 76,917.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.