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Finding the Fourth Proportional to 208,348.17, 287,518.71 and 112,854.63

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Solution

The fourth proportional to 208,348.17, 287,518.71 and 112,854.63 is: 155,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,348.17 : 287,518.71 = 112,854.63 : x
  2. Step 2: Convert to fraction form
    208,348.17/287,518.71 = 112,854.63/x
  3. Step 3: Cross multiply
    208,348.17x = 287,518.71 × 112,854.63
  4. Step 4: Simplify right side
    208,348.17x = 32,447,817,635.13
  5. Step 5: Solve for x
    x = 32,447,817,635.13/208,348.17
  6. Step 6: Final answer
    x = 155,738.43

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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.