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Finding the Fourth Proportional to 102,197.25, 153,304.52 and 28,325.25

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Solution

The fourth proportional to 102,197.25, 153,304.52 and 28,325.25 is: 42,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,197.25 : 153,304.52 = 28,325.25 : x
  2. Step 2: Convert to fraction form
    102,197.25/153,304.52 = 28,325.25/x
  3. Step 3: Cross multiply
    102,197.25x = 153,304.52 × 28,325.25
  4. Step 4: Simplify right side
    102,197.25x = 4,342,388,713.50
  5. Step 5: Solve for x
    x = 4,342,388,713.50/102,197.25
  6. Step 6: Final answer
    x = 42,490.27

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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.