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Finding the Fourth Proportional to 107,366, 161,094.48 and 57,433

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Solution

The fourth proportional to 107,366, 161,094.48 and 57,433 is: 86,173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,366 : 161,094.48 = 57,433 : x
  2. Step 2: Convert to fraction form
    107,366/161,094.48 = 57,433/x
  3. Step 3: Cross multiply
    107,366x = 161,094.48 × 57,433
  4. Step 4: Simplify right side
    107,366x = 9,252,139,269.84
  5. Step 5: Solve for x
    x = 9,252,139,269.84/107,366
  6. Step 6: Final answer
    x = 86,173.83

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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.