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Finding the Fourth Proportional to 143,029.34, 197,454 and 100,776.50

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Solution

The fourth proportional to 143,029.34, 197,454 and 100,776.50 is: 139,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,029.34 : 197,454 = 100,776.50 : x
  2. Step 2: Convert to fraction form
    143,029.34/197,454 = 100,776.50/x
  3. Step 3: Cross multiply
    143,029.34x = 197,454 × 100,776.50
  4. Step 4: Simplify right side
    143,029.34x = 19,898,723,031
  5. Step 5: Solve for x
    x = 19,898,723,031/143,029.34
  6. Step 6: Final answer
    x = 139,123.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.