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Finding the Fourth Proportional to 152,066.57, 209,843.40 and 84,079.46

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Solution

The fourth proportional to 152,066.57, 209,843.40 and 84,079.46 is: 116,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,066.57 : 209,843.40 = 84,079.46 : x
  2. Step 2: Convert to fraction form
    152,066.57/209,843.40 = 84,079.46/x
  3. Step 3: Cross multiply
    152,066.57x = 209,843.40 × 84,079.46
  4. Step 4: Simplify right side
    152,066.57x = 17,643,519,756.56
  5. Step 5: Solve for x
    x = 17,643,519,756.56/152,066.57
  6. Step 6: Final answer
    x = 116,024.98

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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.