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Finding the Fourth Proportional to 158,005, 237,007.50 and 47,197

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Solution

The fourth proportional to 158,005, 237,007.50 and 47,197 is: 70,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,005 : 237,007.50 = 47,197 : x
  2. Step 2: Convert to fraction form
    158,005/237,007.50 = 47,197/x
  3. Step 3: Cross multiply
    158,005x = 237,007.50 × 47,197
  4. Step 4: Simplify right side
    158,005x = 11,186,042,977.50
  5. Step 5: Solve for x
    x = 11,186,042,977.50/158,005
  6. Step 6: Final answer
    x = 70,795.50

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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.