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Finding the Fourth Proportional to 109,987.20, 164,948.40 and 43,405.20

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Solution

The fourth proportional to 109,987.20, 164,948.40 and 43,405.20 is: 65,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,987.20 : 164,948.40 = 43,405.20 : x
  2. Step 2: Convert to fraction form
    109,987.20/164,948.40 = 43,405.20/x
  3. Step 3: Cross multiply
    109,987.20x = 164,948.40 × 43,405.20
  4. Step 4: Simplify right side
    109,987.20x = 7,159,618,291.68
  5. Step 5: Solve for x
    x = 7,159,618,291.68/109,987.20
  6. Step 6: Final answer
    x = 65,095.01

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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.