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Finding the Fourth Proportional to 208,342.68, 287,512.98 and 112,849.08

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Solution

The fourth proportional to 208,342.68, 287,512.98 and 112,849.08 is: 155,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,342.68 : 287,512.98 = 112,849.08 : x
  2. Step 2: Convert to fraction form
    208,342.68/287,512.98 = 112,849.08/x
  3. Step 3: Cross multiply
    208,342.68x = 287,512.98 × 112,849.08
  4. Step 4: Simplify right side
    208,342.68x = 32,445,575,281.06
  5. Step 5: Solve for x
    x = 32,445,575,281.06/208,342.68
  6. Step 6: Final answer
    x = 155,731.77

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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.