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Finding the Fourth Proportional to 102,533.66, 141,506.22 and 62,238.18

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Solution

The fourth proportional to 102,533.66, 141,506.22 and 62,238.18 is: 85,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,533.66 : 141,506.22 = 62,238.18 : x
  2. Step 2: Convert to fraction form
    102,533.66/141,506.22 = 62,238.18/x
  3. Step 3: Cross multiply
    102,533.66x = 141,506.22 × 62,238.18
  4. Step 4: Simplify right side
    102,533.66x = 8,807,089,591.48
  5. Step 5: Solve for x
    x = 8,807,089,591.48/102,533.66
  6. Step 6: Final answer
    x = 85,894.62

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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.