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Finding the Fourth Proportional to 107,963.80, 161,875.30 and 96,904.60

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Solution

The fourth proportional to 107,963.80, 161,875.30 and 96,904.60 is: 145,293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,963.80 : 161,875.30 = 96,904.60 : x
  2. Step 2: Convert to fraction form
    107,963.80/161,875.30 = 96,904.60/x
  3. Step 3: Cross multiply
    107,963.80x = 161,875.30 × 96,904.60
  4. Step 4: Simplify right side
    107,963.80x = 15,686,461,196.38
  5. Step 5: Solve for x
    x = 15,686,461,196.38/107,963.80
  6. Step 6: Final answer
    x = 145,293.71

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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.