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Finding the Fourth Proportional to 208,089.32, 287,162.34 and 112,597.70

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Solution

The fourth proportional to 208,089.32, 287,162.34 and 112,597.70 is: 155,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,089.32 : 287,162.34 = 112,597.70 : x
  2. Step 2: Convert to fraction form
    208,089.32/287,162.34 = 112,597.70/x
  3. Step 3: Cross multiply
    208,089.32x = 287,162.34 × 112,597.70
  4. Step 4: Simplify right side
    208,089.32x = 32,333,819,010.62
  5. Step 5: Solve for x
    x = 32,333,819,010.62/208,089.32
  6. Step 6: Final answer
    x = 155,384.33

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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.