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Finding the Fourth Proportional to 105,362.64, 145,453.32 and 81,435.24

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Solution

The fourth proportional to 105,362.64, 145,453.32 and 81,435.24 is: 112,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,362.64 : 145,453.32 = 81,435.24 : x
  2. Step 2: Convert to fraction form
    105,362.64/145,453.32 = 81,435.24/x
  3. Step 3: Cross multiply
    105,362.64x = 145,453.32 × 81,435.24
  4. Step 4: Simplify right side
    105,362.64x = 11,845,026,023.00
  5. Step 5: Solve for x
    x = 11,845,026,023.00/105,362.64
  6. Step 6: Final answer
    x = 112,421.50

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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.