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Finding the Fourth Proportional to 242,002.38, 333,971.37 and 133,111.32

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Solution

The fourth proportional to 242,002.38, 333,971.37 and 133,111.32 is: 183,698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,002.38 : 333,971.37 = 133,111.32 : x
  2. Step 2: Convert to fraction form
    242,002.38/333,971.37 = 133,111.32/x
  3. Step 3: Cross multiply
    242,002.38x = 333,971.37 × 133,111.32
  4. Step 4: Simplify right side
    242,002.38x = 44,455,368,650.52
  5. Step 5: Solve for x
    x = 44,455,368,650.52/242,002.38
  6. Step 6: Final answer
    x = 183,698.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.