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Finding the Fourth Proportional to 102,193.50, 153,298.89 and 28,321.50

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Solution

The fourth proportional to 102,193.50, 153,298.89 and 28,321.50 is: 42,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,193.50 : 153,298.89 = 28,321.50 : x
  2. Step 2: Convert to fraction form
    102,193.50/153,298.89 = 28,321.50/x
  3. Step 3: Cross multiply
    102,193.50x = 153,298.89 × 28,321.50
  4. Step 4: Simplify right side
    102,193.50x = 4,341,654,513.14
  5. Step 5: Solve for x
    x = 4,341,654,513.14/102,193.50
  6. Step 6: Final answer
    x = 42,484.64

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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.