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Finding the Fourth Proportional to 152,859, 210,945.42 and 85,791

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Solution

The fourth proportional to 152,859, 210,945.42 and 85,791 is: 118,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,859 : 210,945.42 = 85,791 : x
  2. Step 2: Convert to fraction form
    152,859/210,945.42 = 85,791/x
  3. Step 3: Cross multiply
    152,859x = 210,945.42 × 85,791
  4. Step 4: Simplify right side
    152,859x = 18,097,218,527.22
  5. Step 5: Solve for x
    x = 18,097,218,527.22/152,859
  6. Step 6: Final answer
    x = 118,391.58

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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.