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Finding the Fourth Proportional to 242,728.32, 364,034 and 74,250.04

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Solution

The fourth proportional to 242,728.32, 364,034 and 74,250.04 is: 111,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,728.32 : 364,034 = 74,250.04 : x
  2. Step 2: Convert to fraction form
    242,728.32/364,034 = 74,250.04/x
  3. Step 3: Cross multiply
    242,728.32x = 364,034 × 74,250.04
  4. Step 4: Simplify right side
    242,728.32x = 27,029,539,061.36
  5. Step 5: Solve for x
    x = 27,029,539,061.36/242,728.32
  6. Step 6: Final answer
    x = 111,357.17

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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.