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Finding the Fourth Proportional to 208,204.80, 287,322.30 and 112,711.48

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Solution

The fourth proportional to 208,204.80, 287,322.30 and 112,711.48 is: 155,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,204.80 : 287,322.30 = 112,711.48 : x
  2. Step 2: Convert to fraction form
    208,204.80/287,322.30 = 112,711.48/x
  3. Step 3: Cross multiply
    208,204.80x = 287,322.30 × 112,711.48
  4. Step 4: Simplify right side
    208,204.80x = 32,384,521,670.00
  5. Step 5: Solve for x
    x = 32,384,521,670.00/208,204.80
  6. Step 6: Final answer
    x = 155,541.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.