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Finding the Fourth Proportional to 229,849.84, 317,095.32 and 140,374

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Solution

The fourth proportional to 229,849.84, 317,095.32 and 140,374 is: 193,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,849.84 : 317,095.32 = 140,374 : x
  2. Step 2: Convert to fraction form
    229,849.84/317,095.32 = 140,374/x
  3. Step 3: Cross multiply
    229,849.84x = 317,095.32 × 140,374
  4. Step 4: Simplify right side
    229,849.84x = 44,511,938,449.68
  5. Step 5: Solve for x
    x = 44,511,938,449.68/229,849.84
  6. Step 6: Final answer
    x = 193,656.60

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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.