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Finding the Fourth Proportional to 105,598.27, 145,724.40 and 57,199.28

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Solution

The fourth proportional to 105,598.27, 145,724.40 and 57,199.28 is: 78,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,598.27 : 145,724.40 = 57,199.28 : x
  2. Step 2: Convert to fraction form
    105,598.27/145,724.40 = 57,199.28/x
  3. Step 3: Cross multiply
    105,598.27x = 145,724.40 × 57,199.28
  4. Step 4: Simplify right side
    105,598.27x = 8,335,330,029.81
  5. Step 5: Solve for x
    x = 8,335,330,029.81/105,598.27
  6. Step 6: Final answer
    x = 78,934.34

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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.