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Finding the Fourth Proportional to 102,384.50, 153,576.75 and 28,512.50

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Solution

The fourth proportional to 102,384.50, 153,576.75 and 28,512.50 is: 42,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,384.50 : 153,576.75 = 28,512.50 : x
  2. Step 2: Convert to fraction form
    102,384.50/153,576.75 = 28,512.50/x
  3. Step 3: Cross multiply
    102,384.50x = 153,576.75 × 28,512.50
  4. Step 4: Simplify right side
    102,384.50x = 4,378,857,084.38
  5. Step 5: Solve for x
    x = 4,378,857,084.38/102,384.50
  6. Step 6: Final answer
    x = 42,768.75

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1.5x scale

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.