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Finding the Fourth Proportional to 117,055.66, 175,531.65 and 84,085.42

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Solution

The fourth proportional to 117,055.66, 175,531.65 and 84,085.42 is: 126,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,055.66 : 175,531.65 = 84,085.42 : x
  2. Step 2: Convert to fraction form
    117,055.66/175,531.65 = 84,085.42/x
  3. Step 3: Cross multiply
    117,055.66x = 175,531.65 × 84,085.42
  4. Step 4: Simplify right side
    117,055.66x = 14,759,652,513.54
  5. Step 5: Solve for x
    x = 14,759,652,513.54/117,055.66
  6. Step 6: Final answer
    x = 126,090.89

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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.