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Finding the Fourth Proportional to 116,297.64, 174,404.16 and 49,742.64

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Solution

The fourth proportional to 116,297.64, 174,404.16 and 49,742.64 is: 74,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,297.64 : 174,404.16 = 49,742.64 : x
  2. Step 2: Convert to fraction form
    116,297.64/174,404.16 = 49,742.64/x
  3. Step 3: Cross multiply
    116,297.64x = 174,404.16 × 49,742.64
  4. Step 4: Simplify right side
    116,297.64x = 8,675,323,345.38
  5. Step 5: Solve for x
    x = 8,675,323,345.38/116,297.64
  6. Step 6: Final answer
    x = 74,595.87

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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.