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Finding the Fourth Proportional to 145,976.36, 201,447.53 and 85,534.97

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Solution

The fourth proportional to 145,976.36, 201,447.53 and 85,534.97 is: 118,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,976.36 : 201,447.53 = 85,534.97 : x
  2. Step 2: Convert to fraction form
    145,976.36/201,447.53 = 85,534.97/x
  3. Step 3: Cross multiply
    145,976.36x = 201,447.53 × 85,534.97
  4. Step 4: Simplify right side
    145,976.36x = 17,230,807,000.21
  5. Step 5: Solve for x
    x = 17,230,807,000.21/145,976.36
  6. Step 6: Final answer
    x = 118,038.34

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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.