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Finding the Fourth Proportional to 241,809.21, 362,614.28 and 105,041.07

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Solution

The fourth proportional to 241,809.21, 362,614.28 and 105,041.07 is: 157,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,809.21 : 362,614.28 = 105,041.07 : x
  2. Step 2: Convert to fraction form
    241,809.21/362,614.28 = 105,041.07/x
  3. Step 3: Cross multiply
    241,809.21x = 362,614.28 × 105,041.07
  4. Step 4: Simplify right side
    241,809.21x = 38,089,391,443.27
  5. Step 5: Solve for x
    x = 38,089,391,443.27/241,809.21
  6. Step 6: Final answer
    x = 157,518.37

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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.