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Finding the Fourth Proportional to 143,065.40, 197,368.62 and 86,444

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Solution

The fourth proportional to 143,065.40, 197,368.62 and 86,444 is: 119,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,065.40 : 197,368.62 = 86,444 : x
  2. Step 2: Convert to fraction form
    143,065.40/197,368.62 = 86,444/x
  3. Step 3: Cross multiply
    143,065.40x = 197,368.62 × 86,444
  4. Step 4: Simplify right side
    143,065.40x = 17,061,332,987.28
  5. Step 5: Solve for x
    x = 17,061,332,987.28/143,065.40
  6. Step 6: Final answer
    x = 119,255.48

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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.