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Finding the Fourth Proportional to 116,805.34, 174,568.06 and 85,281.86

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Solution

The fourth proportional to 116,805.34, 174,568.06 and 85,281.86 is: 127,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,805.34 : 174,568.06 = 85,281.86 : x
  2. Step 2: Convert to fraction form
    116,805.34/174,568.06 = 85,281.86/x
  3. Step 3: Cross multiply
    116,805.34x = 174,568.06 × 85,281.86
  4. Step 4: Simplify right side
    116,805.34x = 14,887,489,396.41
  5. Step 5: Solve for x
    x = 14,887,489,396.41/116,805.34
  6. Step 6: Final answer
    x = 127,455.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.