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Finding the Fourth Proportional to 152,863, 210,950.94 and 85,795

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Solution

The fourth proportional to 152,863, 210,950.94 and 85,795 is: 118,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,863 : 210,950.94 = 85,795 : x
  2. Step 2: Convert to fraction form
    152,863/210,950.94 = 85,795/x
  3. Step 3: Cross multiply
    152,863x = 210,950.94 × 85,795
  4. Step 4: Simplify right side
    152,863x = 18,098,535,897.30
  5. Step 5: Solve for x
    x = 18,098,535,897.30/152,863
  6. Step 6: Final answer
    x = 118,397.10

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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.