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Finding the Fourth Proportional to 242,486.16, 363,783.51 and 74,021.46

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Solution

The fourth proportional to 242,486.16, 363,783.51 and 74,021.46 is: 111,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,486.16 : 363,783.51 = 74,021.46 : x
  2. Step 2: Convert to fraction form
    242,486.16/363,783.51 = 74,021.46/x
  3. Step 3: Cross multiply
    242,486.16x = 363,783.51 × 74,021.46
  4. Step 4: Simplify right side
    242,486.16x = 26,927,786,534.12
  5. Step 5: Solve for x
    x = 26,927,786,534.12/242,486.16
  6. Step 6: Final answer
    x = 111,048.76

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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.