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Finding the Fourth Proportional to 152,111.84, 228,085.44 and 107,825.28

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Solution

The fourth proportional to 152,111.84, 228,085.44 and 107,825.28 is: 161,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,111.84 : 228,085.44 = 107,825.28 : x
  2. Step 2: Convert to fraction form
    152,111.84/228,085.44 = 107,825.28/x
  3. Step 3: Cross multiply
    152,111.84x = 228,085.44 × 107,825.28
  4. Step 4: Simplify right side
    152,111.84x = 24,593,376,431.92
  5. Step 5: Solve for x
    x = 24,593,376,431.92/152,111.84
  6. Step 6: Final answer
    x = 161,679.57

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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.