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Finding the Fourth Proportional to 175,634.57, 242,381.57 and 107,638.41

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Solution

The fourth proportional to 175,634.57, 242,381.57 and 107,638.41 is: 148,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,634.57 : 242,381.57 = 107,638.41 : x
  2. Step 2: Convert to fraction form
    175,634.57/242,381.57 = 107,638.41/x
  3. Step 3: Cross multiply
    175,634.57x = 242,381.57 × 107,638.41
  4. Step 4: Simplify right side
    175,634.57x = 26,089,566,808.10
  5. Step 5: Solve for x
    x = 26,089,566,808.10/175,634.57
  6. Step 6: Final answer
    x = 148,544.60

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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.