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Finding the Fourth Proportional to 242,570.12, 363,894.06 and 102,349.40

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Solution

The fourth proportional to 242,570.12, 363,894.06 and 102,349.40 is: 153,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,570.12 : 363,894.06 = 102,349.40 : x
  2. Step 2: Convert to fraction form
    242,570.12/363,894.06 = 102,349.40/x
  3. Step 3: Cross multiply
    242,570.12x = 363,894.06 × 102,349.40
  4. Step 4: Simplify right side
    242,570.12x = 37,244,338,704.56
  5. Step 5: Solve for x
    x = 37,244,338,704.56/242,570.12
  6. Step 6: Final answer
    x = 153,540.50

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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.