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Finding the Fourth Proportional to 129,706.38, 178,994.88 and 70,090.38

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Solution

The fourth proportional to 129,706.38, 178,994.88 and 70,090.38 is: 96,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,706.38 : 178,994.88 = 70,090.38 : x
  2. Step 2: Convert to fraction form
    129,706.38/178,994.88 = 70,090.38/x
  3. Step 3: Cross multiply
    129,706.38x = 178,994.88 × 70,090.38
  4. Step 4: Simplify right side
    129,706.38x = 12,545,819,157.25
  5. Step 5: Solve for x
    x = 12,545,819,157.25/129,706.38
  6. Step 6: Final answer
    x = 96,724.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.