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Finding the Fourth Proportional to 238,529.70, 357,658.47 and 98,121.06

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Solution

The fourth proportional to 238,529.70, 357,658.47 and 98,121.06 is: 147,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,529.70 : 357,658.47 = 98,121.06 : x
  2. Step 2: Convert to fraction form
    238,529.70/357,658.47 = 98,121.06/x
  3. Step 3: Cross multiply
    238,529.70x = 357,658.47 × 98,121.06
  4. Step 4: Simplify right side
    238,529.70x = 35,093,828,194.38
  5. Step 5: Solve for x
    x = 35,093,828,194.38/238,529.70
  6. Step 6: Final answer
    x = 147,125.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.