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Finding the Fourth Proportional to 116,549.84, 174,824.75 and 77,097.73

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Solution

The fourth proportional to 116,549.84, 174,824.75 and 77,097.73 is: 115,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,549.84 : 174,824.75 = 77,097.73 : x
  2. Step 2: Convert to fraction form
    116,549.84/174,824.75 = 77,097.73/x
  3. Step 3: Cross multiply
    116,549.84x = 174,824.75 × 77,097.73
  4. Step 4: Simplify right side
    116,549.84x = 13,478,591,128.50
  5. Step 5: Solve for x
    x = 13,478,591,128.50/116,549.84
  6. Step 6: Final answer
    x = 115,646.59

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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.