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Finding the Fourth Proportional to 107,361, 160,866.12 and 65,253.96

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Solution

The fourth proportional to 107,361, 160,866.12 and 65,253.96 is: 97,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,361 : 160,866.12 = 65,253.96 : x
  2. Step 2: Convert to fraction form
    107,361/160,866.12 = 65,253.96/x
  3. Step 3: Cross multiply
    107,361x = 160,866.12 × 65,253.96
  4. Step 4: Simplify right side
    107,361x = 10,497,151,359.84
  5. Step 5: Solve for x
    x = 10,497,151,359.84/107,361
  6. Step 6: Final answer
    x = 97,774.34

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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.