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Finding the Fourth Proportional to 145,825.56, 201,253.56 and 85,392.48

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Solution

The fourth proportional to 145,825.56, 201,253.56 and 85,392.48 is: 117,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,825.56 : 201,253.56 = 85,392.48 : x
  2. Step 2: Convert to fraction form
    145,825.56/201,253.56 = 85,392.48/x
  3. Step 3: Cross multiply
    145,825.56x = 201,253.56 × 85,392.48
  4. Step 4: Simplify right side
    145,825.56x = 17,185,540,597.23
  5. Step 5: Solve for x
    x = 17,185,540,597.23/145,825.56
  6. Step 6: Final answer
    x = 117,849.99

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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.