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Finding the Fourth Proportional to 102,208.75, 153,314.51 and 32,088.07

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Solution

The fourth proportional to 102,208.75, 153,314.51 and 32,088.07 is: 48,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,208.75 : 153,314.51 = 32,088.07 : x
  2. Step 2: Convert to fraction form
    102,208.75/153,314.51 = 32,088.07/x
  3. Step 3: Cross multiply
    102,208.75x = 153,314.51 × 32,088.07
  4. Step 4: Simplify right side
    102,208.75x = 4,919,566,728.90
  5. Step 5: Solve for x
    x = 4,919,566,728.90/102,208.75
  6. Step 6: Final answer
    x = 48,132.54

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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.