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Finding the Fourth Proportional to 102,028.50, 153,051.57 and 28,156.50

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Solution

The fourth proportional to 102,028.50, 153,051.57 and 28,156.50 is: 42,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,028.50 : 153,051.57 = 28,156.50 : x
  2. Step 2: Convert to fraction form
    102,028.50/153,051.57 = 28,156.50/x
  3. Step 3: Cross multiply
    102,028.50x = 153,051.57 × 28,156.50
  4. Step 4: Simplify right side
    102,028.50x = 4,309,396,530.71
  5. Step 5: Solve for x
    x = 4,309,396,530.71/102,028.50
  6. Step 6: Final answer
    x = 42,237.18

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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.