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Finding the Fourth Proportional to 242,547.36, 363,834.54 and 74,093.28

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Solution

The fourth proportional to 242,547.36, 363,834.54 and 74,093.28 is: 111,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,547.36 : 363,834.54 = 74,093.28 : x
  2. Step 2: Convert to fraction form
    242,547.36/363,834.54 = 74,093.28/x
  3. Step 3: Cross multiply
    242,547.36x = 363,834.54 × 74,093.28
  4. Step 4: Simplify right side
    242,547.36x = 26,957,694,445.89
  5. Step 5: Solve for x
    x = 26,957,694,445.89/242,547.36
  6. Step 6: Final answer
    x = 111,144.04

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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.