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Finding the Fourth Proportional to 102,384.10, 153,248.10 and 80,076.70

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Solution

The fourth proportional to 102,384.10, 153,248.10 and 80,076.70 is: 119,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,384.10 : 153,248.10 = 80,076.70 : x
  2. Step 2: Convert to fraction form
    102,384.10/153,248.10 = 80,076.70/x
  3. Step 3: Cross multiply
    102,384.10x = 153,248.10 × 80,076.70
  4. Step 4: Simplify right side
    102,384.10x = 12,271,602,129.27
  5. Step 5: Solve for x
    x = 12,271,602,129.27/102,384.10
  6. Step 6: Final answer
    x = 119,858.48

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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.