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Finding the Fourth Proportional to 103,949.40, 155,705.40 and 86,453.40

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Solution

The fourth proportional to 103,949.40, 155,705.40 and 86,453.40 is: 129,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,949.40 : 155,705.40 = 86,453.40 : x
  2. Step 2: Convert to fraction form
    103,949.40/155,705.40 = 86,453.40/x
  3. Step 3: Cross multiply
    103,949.40x = 155,705.40 × 86,453.40
  4. Step 4: Simplify right side
    103,949.40x = 13,461,261,228.36
  5. Step 5: Solve for x
    x = 13,461,261,228.36/103,949.40
  6. Step 6: Final answer
    x = 129,498.21

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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.