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Finding the Fourth Proportional to 142,514.35, 196,639.17 and 85,924.51

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Solution

The fourth proportional to 142,514.35, 196,639.17 and 85,924.51 is: 118,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,514.35 : 196,639.17 = 85,924.51 : x
  2. Step 2: Convert to fraction form
    142,514.35/196,639.17 = 85,924.51/x
  3. Step 3: Cross multiply
    142,514.35x = 196,639.17 × 85,924.51
  4. Step 4: Simplify right side
    142,514.35x = 16,896,124,329.06
  5. Step 5: Solve for x
    x = 16,896,124,329.06/142,514.35
  6. Step 6: Final answer
    x = 118,557.35

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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.