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Finding the Fourth Proportional to 152,277.72, 210,143.70 and 82,426.98

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Solution

The fourth proportional to 152,277.72, 210,143.70 and 82,426.98 is: 113,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,277.72 : 210,143.70 = 82,426.98 : x
  2. Step 2: Convert to fraction form
    152,277.72/210,143.70 = 82,426.98/x
  3. Step 3: Cross multiply
    152,277.72x = 210,143.70 × 82,426.98
  4. Step 4: Simplify right side
    152,277.72x = 17,321,510,557.03
  5. Step 5: Solve for x
    x = 17,321,510,557.03/152,277.72
  6. Step 6: Final answer
    x = 113,749.47

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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.