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Finding the Fourth Proportional to 117,178.74, 175,768.35 and 42,351.71

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Solution

The fourth proportional to 117,178.74, 175,768.35 and 42,351.71 is: 63,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,178.74 : 175,768.35 = 42,351.71 : x
  2. Step 2: Convert to fraction form
    117,178.74/175,768.35 = 42,351.71/x
  3. Step 3: Cross multiply
    117,178.74x = 175,768.35 × 42,351.71
  4. Step 4: Simplify right side
    117,178.74x = 7,444,089,307.54
  5. Step 5: Solve for x
    x = 7,444,089,307.54/117,178.74
  6. Step 6: Final answer
    x = 63,527.64

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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.