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Finding the Fourth Proportional to 105,592.44, 145,662.30 and 65,293.32

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Solution

The fourth proportional to 105,592.44, 145,662.30 and 65,293.32 is: 90,070.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,592.44 : 145,662.30 = 65,293.32 : x
  2. Step 2: Convert to fraction form
    105,592.44/145,662.30 = 65,293.32/x
  3. Step 3: Cross multiply
    105,592.44x = 145,662.30 × 65,293.32
  4. Step 4: Simplify right side
    105,592.44x = 9,510,775,165.84
  5. Step 5: Solve for x
    x = 9,510,775,165.84/105,592.44
  6. Step 6: Final answer
    x = 90,070.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.