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Finding the Fourth Proportional to 105,598.50, 145,725.05 and 57,199.31

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Solution

The fourth proportional to 105,598.50, 145,725.05 and 57,199.31 is: 78,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,598.50 : 145,725.05 = 57,199.31 : x
  2. Step 2: Convert to fraction form
    105,598.50/145,725.05 = 57,199.31/x
  3. Step 3: Cross multiply
    105,598.50x = 145,725.05 × 57,199.31
  4. Step 4: Simplify right side
    105,598.50x = 8,335,372,929.39
  5. Step 5: Solve for x
    x = 8,335,372,929.39/105,598.50
  6. Step 6: Final answer
    x = 78,934.58

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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.