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Finding the Fourth Proportional to 102,196.50, 153,303.39 and 28,324.50

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Solution

The fourth proportional to 102,196.50, 153,303.39 and 28,324.50 is: 42,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,196.50 : 153,303.39 = 28,324.50 : x
  2. Step 2: Convert to fraction form
    102,196.50/153,303.39 = 28,324.50/x
  3. Step 3: Cross multiply
    102,196.50x = 153,303.39 × 28,324.50
  4. Step 4: Simplify right side
    102,196.50x = 4,342,241,870.06
  5. Step 5: Solve for x
    x = 4,342,241,870.06/102,196.50
  6. Step 6: Final answer
    x = 42,489.14

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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.