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Finding the Fourth Proportional to 208,041.44, 312,109.08 and 65,895.44

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Solution

The fourth proportional to 208,041.44, 312,109.08 and 65,895.44 is: 98,858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,041.44 : 312,109.08 = 65,895.44 : x
  2. Step 2: Convert to fraction form
    208,041.44/312,109.08 = 65,895.44/x
  3. Step 3: Cross multiply
    208,041.44x = 312,109.08 × 65,895.44
  4. Step 4: Simplify right side
    208,041.44x = 20,566,565,154.60
  5. Step 5: Solve for x
    x = 20,566,565,154.60/208,041.44
  6. Step 6: Final answer
    x = 98,858.02

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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.