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Finding the Fourth Proportional to 129,222.07, 178,300.31 and 75,496.70

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Solution

The fourth proportional to 129,222.07, 178,300.31 and 75,496.70 is: 104,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,222.07 : 178,300.31 = 75,496.70 : x
  2. Step 2: Convert to fraction form
    129,222.07/178,300.31 = 75,496.70/x
  3. Step 3: Cross multiply
    129,222.07x = 178,300.31 × 75,496.70
  4. Step 4: Simplify right side
    129,222.07x = 13,461,085,082.24
  5. Step 5: Solve for x
    x = 13,461,085,082.24/129,222.07
  6. Step 6: Final answer
    x = 104,170.17

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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.