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Finding the Fourth Proportional to 242,883.46, 364,237.66 and 102,653.02

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Solution

The fourth proportional to 242,883.46, 364,237.66 and 102,653.02 is: 153,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,883.46 : 364,237.66 = 102,653.02 : x
  2. Step 2: Convert to fraction form
    242,883.46/364,237.66 = 102,653.02/x
  3. Step 3: Cross multiply
    242,883.46x = 364,237.66 × 102,653.02
  4. Step 4: Simplify right side
    242,883.46x = 37,390,096,380.35
  5. Step 5: Solve for x
    x = 37,390,096,380.35/242,883.46
  6. Step 6: Final answer
    x = 153,942.54

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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.