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Finding the Fourth Proportional to 102,747, 154,120.50 and 28,875

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Solution

The fourth proportional to 102,747, 154,120.50 and 28,875 is: 43,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,747 : 154,120.50 = 28,875 : x
  2. Step 2: Convert to fraction form
    102,747/154,120.50 = 28,875/x
  3. Step 3: Cross multiply
    102,747x = 154,120.50 × 28,875
  4. Step 4: Simplify right side
    102,747x = 4,450,229,437.50
  5. Step 5: Solve for x
    x = 4,450,229,437.50/102,747
  6. Step 6: Final answer
    x = 43,312.50

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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.