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Finding the Fourth Proportional to 205,386.06, 283,404.70 and 114,730.80

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Solution

The fourth proportional to 205,386.06, 283,404.70 and 114,730.80 is: 158,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,386.06 : 283,404.70 = 114,730.80 : x
  2. Step 2: Convert to fraction form
    205,386.06/283,404.70 = 114,730.80/x
  3. Step 3: Cross multiply
    205,386.06x = 283,404.70 × 114,730.80
  4. Step 4: Simplify right side
    205,386.06x = 32,515,247,954.76
  5. Step 5: Solve for x
    x = 32,515,247,954.76/205,386.06
  6. Step 6: Final answer
    x = 158,312.83

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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.