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Finding the Fourth Proportional to 358,097.22, 537,062.49 and 105,310.10

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Solution

The fourth proportional to 358,097.22, 537,062.49 and 105,310.10 is: 157,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,097.22 : 537,062.49 = 105,310.10 : x
  2. Step 2: Convert to fraction form
    358,097.22/537,062.49 = 105,310.10/x
  3. Step 3: Cross multiply
    358,097.22x = 537,062.49 × 105,310.10
  4. Step 4: Simplify right side
    358,097.22x = 56,558,105,870.81
  5. Step 5: Solve for x
    x = 56,558,105,870.81/358,097.22
  6. Step 6: Final answer
    x = 157,940.64

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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.