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Finding the Fourth Proportional to 152,424.27, 210,339.53 and 83,512.50

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Solution

The fourth proportional to 152,424.27, 210,339.53 and 83,512.50 is: 115,243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,424.27 : 210,339.53 = 83,512.50 : x
  2. Step 2: Convert to fraction form
    152,424.27/210,339.53 = 83,512.50/x
  3. Step 3: Cross multiply
    152,424.27x = 210,339.53 × 83,512.50
  4. Step 4: Simplify right side
    152,424.27x = 17,565,979,581.56
  5. Step 5: Solve for x
    x = 17,565,979,581.56/152,424.27
  6. Step 6: Final answer
    x = 115,243.98

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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.