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Finding the Fourth Proportional to 152,178.68, 210,006.42 and 85,110.68

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Solution

The fourth proportional to 152,178.68, 210,006.42 and 85,110.68 is: 117,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,178.68 : 210,006.42 = 85,110.68 : x
  2. Step 2: Convert to fraction form
    152,178.68/210,006.42 = 85,110.68/x
  3. Step 3: Cross multiply
    152,178.68x = 210,006.42 × 85,110.68
  4. Step 4: Simplify right side
    152,178.68x = 17,873,789,210.57
  5. Step 5: Solve for x
    x = 17,873,789,210.57/152,178.68
  6. Step 6: Final answer
    x = 117,452.65

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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.