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Finding the Fourth Proportional to 242,618.24, 363,817.20 and 102,300.32

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Solution

The fourth proportional to 242,618.24, 363,817.20 and 102,300.32 is: 153,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,618.24 : 363,817.20 = 102,300.32 : x
  2. Step 2: Convert to fraction form
    242,618.24/363,817.20 = 102,300.32/x
  3. Step 3: Cross multiply
    242,618.24x = 363,817.20 × 102,300.32
  4. Step 4: Simplify right side
    242,618.24x = 37,218,615,981.50
  5. Step 5: Solve for x
    x = 37,218,615,981.50/242,618.24
  6. Step 6: Final answer
    x = 153,404.03

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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.