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Finding the Fourth Proportional to 129,864.48, 194,679.76 and 46,700

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Solution

The fourth proportional to 129,864.48, 194,679.76 and 46,700 is: 70,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,864.48 : 194,679.76 = 46,700 : x
  2. Step 2: Convert to fraction form
    129,864.48/194,679.76 = 46,700/x
  3. Step 3: Cross multiply
    129,864.48x = 194,679.76 × 46,700
  4. Step 4: Simplify right side
    129,864.48x = 9,091,544,792
  5. Step 5: Solve for x
    x = 9,091,544,792/129,864.48
  6. Step 6: Final answer
    x = 70,007.94

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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.