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Finding the Fourth Proportional to 208,592.40, 312,815.70 and 108,719.40

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Solution

The fourth proportional to 208,592.40, 312,815.70 and 108,719.40 is: 163,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,592.40 : 312,815.70 = 108,719.40 : x
  2. Step 2: Convert to fraction form
    208,592.40/312,815.70 = 108,719.40/x
  3. Step 3: Cross multiply
    208,592.40x = 312,815.70 × 108,719.40
  4. Step 4: Simplify right side
    208,592.40x = 34,009,135,214.58
  5. Step 5: Solve for x
    x = 34,009,135,214.58/208,592.40
  6. Step 6: Final answer
    x = 163,041.10

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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.