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Finding the Fourth Proportional to 175,091.64, 262,719.47 and 86,296.74

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Solution

The fourth proportional to 175,091.64, 262,719.47 and 86,296.74 is: 129,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,091.64 : 262,719.47 = 86,296.74 : x
  2. Step 2: Convert to fraction form
    175,091.64/262,719.47 = 86,296.74/x
  3. Step 3: Cross multiply
    175,091.64x = 262,719.47 × 86,296.74
  4. Step 4: Simplify right side
    175,091.64x = 22,671,833,364.04
  5. Step 5: Solve for x
    x = 22,671,833,364.04/175,091.64
  6. Step 6: Final answer
    x = 129,485.53

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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.