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Finding the Fourth Proportional to 103,535.20, 155,448.60 and 64,169.20

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Solution

The fourth proportional to 103,535.20, 155,448.60 and 64,169.20 is: 96,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,535.20 : 155,448.60 = 64,169.20 : x
  2. Step 2: Convert to fraction form
    103,535.20/155,448.60 = 64,169.20/x
  3. Step 3: Cross multiply
    103,535.20x = 155,448.60 × 64,169.20
  4. Step 4: Simplify right side
    103,535.20x = 9,975,012,303.12
  5. Step 5: Solve for x
    x = 9,975,012,303.12/103,535.20
  6. Step 6: Final answer
    x = 96,344.16

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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.