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Finding the Fourth Proportional to 102,097.66, 152,818.83 and 54,594.10

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Solution

The fourth proportional to 102,097.66, 152,818.83 and 54,594.10 is: 81,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,097.66 : 152,818.83 = 54,594.10 : x
  2. Step 2: Convert to fraction form
    102,097.66/152,818.83 = 54,594.10/x
  3. Step 3: Cross multiply
    102,097.66x = 152,818.83 × 54,594.10
  4. Step 4: Simplify right side
    102,097.66x = 8,343,006,486.90
  5. Step 5: Solve for x
    x = 8,343,006,486.90/102,097.66
  6. Step 6: Final answer
    x = 81,715.94

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Why These Related Problems?

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