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Finding the Fourth Proportional to 146,197.96, 201,741.06 and 85,762.28

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Solution

The fourth proportional to 146,197.96, 201,741.06 and 85,762.28 is: 118,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,197.96 : 201,741.06 = 85,762.28 : x
  2. Step 2: Convert to fraction form
    146,197.96/201,741.06 = 85,762.28/x
  3. Step 3: Cross multiply
    146,197.96x = 201,741.06 × 85,762.28
  4. Step 4: Simplify right side
    146,197.96x = 17,301,773,275.22
  5. Step 5: Solve for x
    x = 17,301,773,275.22/146,197.96
  6. Step 6: Final answer
    x = 118,344.83

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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.