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Finding the Fourth Proportional to 152,219.13, 210,057.24 and 84,238.98

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Solution

The fourth proportional to 152,219.13, 210,057.24 and 84,238.98 is: 116,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,219.13 : 210,057.24 = 84,238.98 : x
  2. Step 2: Convert to fraction form
    152,219.13/210,057.24 = 84,238.98/x
  3. Step 3: Cross multiply
    152,219.13x = 210,057.24 × 84,238.98
  4. Step 4: Simplify right side
    152,219.13x = 17,695,007,639.22
  5. Step 5: Solve for x
    x = 17,695,007,639.22/152,219.13
  6. Step 6: Final answer
    x = 116,246.94

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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.