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Finding the Fourth Proportional to 208,547.01, 287,794.89 and 113,053.41

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Solution

The fourth proportional to 208,547.01, 287,794.89 and 113,053.41 is: 156,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,547.01 : 287,794.89 = 113,053.41 : x
  2. Step 2: Convert to fraction form
    208,547.01/287,794.89 = 113,053.41/x
  3. Step 3: Cross multiply
    208,547.01x = 287,794.89 × 113,053.41
  4. Step 4: Simplify right side
    208,547.01x = 32,536,193,695.07
  5. Step 5: Solve for x
    x = 32,536,193,695.07/208,547.01
  6. Step 6: Final answer
    x = 156,013.71

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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.