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Finding the Fourth Proportional to 102,222, 153,334.38 and 32,101.32

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Solution

The fourth proportional to 102,222, 153,334.38 and 32,101.32 is: 48,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,222 : 153,334.38 = 32,101.32 : x
  2. Step 2: Convert to fraction form
    102,222/153,334.38 = 32,101.32/x
  3. Step 3: Cross multiply
    102,222x = 153,334.38 × 32,101.32
  4. Step 4: Simplify right side
    102,222x = 4,922,235,999.38
  5. Step 5: Solve for x
    x = 4,922,235,999.38/102,222
  6. Step 6: Final answer
    x = 48,152.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.