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Finding the Fourth Proportional to 107,316.46, 160,799.64 and 54,653.50

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Solution

The fourth proportional to 107,316.46, 160,799.64 and 54,653.50 is: 81,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,316.46 : 160,799.64 = 54,653.50 : x
  2. Step 2: Convert to fraction form
    107,316.46/160,799.64 = 54,653.50/x
  3. Step 3: Cross multiply
    107,316.46x = 160,799.64 × 54,653.50
  4. Step 4: Simplify right side
    107,316.46x = 8,788,263,124.74
  5. Step 5: Solve for x
    x = 8,788,263,124.74/107,316.46
  6. Step 6: Final answer
    x = 81,891.10

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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.