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Finding the Fourth Proportional to 152,491.20, 228,518.86 and 85,792

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Solution

The fourth proportional to 152,491.20, 228,518.86 and 85,792 is: 128,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,491.20 : 228,518.86 = 85,792 : x
  2. Step 2: Convert to fraction form
    152,491.20/228,518.86 = 85,792/x
  3. Step 3: Cross multiply
    152,491.20x = 228,518.86 × 85,792
  4. Step 4: Simplify right side
    152,491.20x = 19,605,090,037.12
  5. Step 5: Solve for x
    x = 19,605,090,037.12/152,491.20
  6. Step 6: Final answer
    x = 128,565.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.