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Finding the Fourth Proportional to 189,897.60, 261,976.32 and 114,402.72

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Solution

The fourth proportional to 189,897.60, 261,976.32 and 114,402.72 is: 157,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,897.60 : 261,976.32 = 114,402.72 : x
  2. Step 2: Convert to fraction form
    189,897.60/261,976.32 = 114,402.72/x
  3. Step 3: Cross multiply
    189,897.60x = 261,976.32 × 114,402.72
  4. Step 4: Simplify right side
    189,897.60x = 29,970,803,583.59
  5. Step 5: Solve for x
    x = 29,970,803,583.59/189,897.60
  6. Step 6: Final answer
    x = 157,826.13

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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.