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Finding the Fourth Proportional to 138,841.50, 208,270.32 and 39,009.48

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Solution

The fourth proportional to 138,841.50, 208,270.32 and 39,009.48 is: 58,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,841.50 : 208,270.32 = 39,009.48 : x
  2. Step 2: Convert to fraction form
    138,841.50/208,270.32 = 39,009.48/x
  3. Step 3: Cross multiply
    138,841.50x = 208,270.32 × 39,009.48
  4. Step 4: Simplify right side
    138,841.50x = 8,124,516,882.63
  5. Step 5: Solve for x
    x = 8,124,516,882.63/138,841.50
  6. Step 6: Final answer
    x = 58,516.49

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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.