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Finding the Fourth Proportional to 199,264.64, 298,689.35 and 86,914.69

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Solution

The fourth proportional to 199,264.64, 298,689.35 and 86,914.69 is: 130,281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,264.64 : 298,689.35 = 86,914.69 : x
  2. Step 2: Convert to fraction form
    199,264.64/298,689.35 = 86,914.69/x
  3. Step 3: Cross multiply
    199,264.64x = 298,689.35 × 86,914.69
  4. Step 4: Simplify right side
    199,264.64x = 25,960,492,261.55
  5. Step 5: Solve for x
    x = 25,960,492,261.55/199,264.64
  6. Step 6: Final answer
    x = 130,281.48

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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.