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Finding the Fourth Proportional to 208,569.76, 312,884.39 and 64,487.98

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Solution

The fourth proportional to 208,569.76, 312,884.39 and 64,487.98 is: 96,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,569.76 : 312,884.39 = 64,487.98 : x
  2. Step 2: Convert to fraction form
    208,569.76/312,884.39 = 64,487.98/x
  3. Step 3: Cross multiply
    208,569.76x = 312,884.39 × 64,487.98
  4. Step 4: Simplify right side
    208,569.76x = 20,177,282,284.63
  5. Step 5: Solve for x
    x = 20,177,282,284.63/208,569.76
  6. Step 6: Final answer
    x = 96,741.17

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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.