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Finding the Fourth Proportional to 189,422.51, 284,139.92 and 99,442.50

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Solution

The fourth proportional to 189,422.51, 284,139.92 and 99,442.50 is: 149,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,422.51 : 284,139.92 = 99,442.50 : x
  2. Step 2: Convert to fraction form
    189,422.51/284,139.92 = 99,442.50/x
  3. Step 3: Cross multiply
    189,422.51x = 284,139.92 × 99,442.50
  4. Step 4: Simplify right side
    189,422.51x = 28,255,584,243.21
  5. Step 5: Solve for x
    x = 28,255,584,243.21/189,422.51
  6. Step 6: Final answer
    x = 149,166.98

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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.