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Finding the Fourth Proportional to 103,024, 142,033.54 and 88,077.22

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Solution

The fourth proportional to 103,024, 142,033.54 and 88,077.22 is: 121,427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,024 : 142,033.54 = 88,077.22 : x
  2. Step 2: Convert to fraction form
    103,024/142,033.54 = 88,077.22/x
  3. Step 3: Cross multiply
    103,024x = 142,033.54 × 88,077.22
  4. Step 4: Simplify right side
    103,024x = 12,509,919,349.96
  5. Step 5: Solve for x
    x = 12,509,919,349.96/103,024
  6. Step 6: Final answer
    x = 121,427.23

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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.