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Finding the Fourth Proportional to 242,735.75, 364,045.16 and 74,257.53

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Solution

The fourth proportional to 242,735.75, 364,045.16 and 74,257.53 is: 111,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,735.75 : 364,045.16 = 74,257.53 : x
  2. Step 2: Convert to fraction form
    242,735.75/364,045.16 = 74,257.53/x
  3. Step 3: Cross multiply
    242,735.75x = 364,045.16 × 74,257.53
  4. Step 4: Simplify right side
    242,735.75x = 27,033,094,018.77
  5. Step 5: Solve for x
    x = 27,033,094,018.77/242,735.75
  6. Step 6: Final answer
    x = 111,368.41

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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.