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Finding the Fourth Proportional to 208,345.16, 287,514.56 and 112,851.63

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Solution

The fourth proportional to 208,345.16, 287,514.56 and 112,851.63 is: 155,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,345.16 : 287,514.56 = 112,851.63 : x
  2. Step 2: Convert to fraction form
    208,345.16/287,514.56 = 112,851.63/x
  3. Step 3: Cross multiply
    208,345.16x = 287,514.56 × 112,851.63
  4. Step 4: Simplify right side
    208,345.16x = 32,446,487,026.86
  5. Step 5: Solve for x
    x = 32,446,487,026.86/208,345.16
  6. Step 6: Final answer
    x = 155,734.30

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