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Finding the Fourth Proportional to 107,838.92, 161,415.14 and 60,308.72

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Solution

The fourth proportional to 107,838.92, 161,415.14 and 60,308.72 is: 90,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,838.92 : 161,415.14 = 60,308.72 : x
  2. Step 2: Convert to fraction form
    107,838.92/161,415.14 = 60,308.72/x
  3. Step 3: Cross multiply
    107,838.92x = 161,415.14 × 60,308.72
  4. Step 4: Simplify right side
    107,838.92x = 9,734,740,482.02
  5. Step 5: Solve for x
    x = 9,734,740,482.02/107,838.92
  6. Step 6: Final answer
    x = 90,271.12

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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.