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Finding the Fourth Proportional to 190,567.60, 262,999.44 and 105,712

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Solution

The fourth proportional to 190,567.60, 262,999.44 and 105,712 is: 145,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,567.60 : 262,999.44 = 105,712 : x
  2. Step 2: Convert to fraction form
    190,567.60/262,999.44 = 105,712/x
  3. Step 3: Cross multiply
    190,567.60x = 262,999.44 × 105,712
  4. Step 4: Simplify right side
    190,567.60x = 27,802,196,801.28
  5. Step 5: Solve for x
    x = 27,802,196,801.28/190,567.60
  6. Step 6: Final answer
    x = 145,891.52

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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.