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Finding the Fourth Proportional to 142,564, 196,738.32 and 82,948

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Solution

The fourth proportional to 142,564, 196,738.32 and 82,948 is: 114,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,564 : 196,738.32 = 82,948 : x
  2. Step 2: Convert to fraction form
    142,564/196,738.32 = 82,948/x
  3. Step 3: Cross multiply
    142,564x = 196,738.32 × 82,948
  4. Step 4: Simplify right side
    142,564x = 16,319,050,167.36
  5. Step 5: Solve for x
    x = 16,319,050,167.36/142,564
  6. Step 6: Final answer
    x = 114,468.24

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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.