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Finding the Fourth Proportional to 208,307.10, 287,463.18 and 112,813.56

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Solution

The fourth proportional to 208,307.10, 287,463.18 and 112,813.56 is: 155,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,307.10 : 287,463.18 = 112,813.56 : x
  2. Step 2: Convert to fraction form
    208,307.10/287,463.18 = 112,813.56/x
  3. Step 3: Cross multiply
    208,307.10x = 287,463.18 × 112,813.56
  4. Step 4: Simplify right side
    208,307.10x = 32,429,744,704.72
  5. Step 5: Solve for x
    x = 32,429,744,704.72/208,307.10
  6. Step 6: Final answer
    x = 155,682.38

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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.