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Finding the Fourth Proportional to 107,813.30, 161,719.95 and 92,261.30

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Solution

The fourth proportional to 107,813.30, 161,719.95 and 92,261.30 is: 138,391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,813.30 : 161,719.95 = 92,261.30 : x
  2. Step 2: Convert to fraction form
    107,813.30/161,719.95 = 92,261.30/x
  3. Step 3: Cross multiply
    107,813.30x = 161,719.95 × 92,261.30
  4. Step 4: Simplify right side
    107,813.30x = 14,920,492,822.94
  5. Step 5: Solve for x
    x = 14,920,492,822.94/107,813.30
  6. Step 6: Final answer
    x = 138,391.95

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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.