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Finding the Fourth Proportional to 208,347.72, 287,519.30 and 112,854.68

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Solution

The fourth proportional to 208,347.72, 287,519.30 and 112,854.68 is: 155,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,347.72 : 287,519.30 = 112,854.68 : x
  2. Step 2: Convert to fraction form
    208,347.72/287,519.30 = 112,854.68/x
  3. Step 3: Cross multiply
    208,347.72x = 287,519.30 × 112,854.68
  4. Step 4: Simplify right side
    208,347.72x = 32,447,898,595.32
  5. Step 5: Solve for x
    x = 32,447,898,595.32/208,347.72
  6. Step 6: Final answer
    x = 155,739.16

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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.