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Finding the Fourth Proportional to 205,407.60, 308,428.20 and 112,095.60

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Solution

The fourth proportional to 205,407.60, 308,428.20 and 112,095.60 is: 168,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,407.60 : 308,428.20 = 112,095.60 : x
  2. Step 2: Convert to fraction form
    205,407.60/308,428.20 = 112,095.60/x
  3. Step 3: Cross multiply
    205,407.60x = 308,428.20 × 112,095.60
  4. Step 4: Simplify right side
    205,407.60x = 34,573,444,135.92
  5. Step 5: Solve for x
    x = 34,573,444,135.92/205,407.60
  6. Step 6: Final answer
    x = 168,316.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.