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Finding the Fourth Proportional to 197,752.86, 296,636.58 and 101,664.36

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Solution

The fourth proportional to 197,752.86, 296,636.58 and 101,664.36 is: 152,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,752.86 : 296,636.58 = 101,664.36 : x
  2. Step 2: Convert to fraction form
    197,752.86/296,636.58 = 101,664.36/x
  3. Step 3: Cross multiply
    197,752.86x = 296,636.58 × 101,664.36
  4. Step 4: Simplify right side
    197,752.86x = 30,157,368,058.29
  5. Step 5: Solve for x
    x = 30,157,368,058.29/197,752.86
  6. Step 6: Final answer
    x = 152,500.29

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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.