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Finding the Fourth Proportional to 117,919.53, 176,878.89 and 47,798.64

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Solution

The fourth proportional to 117,919.53, 176,878.89 and 47,798.64 is: 71,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,919.53 : 176,878.89 = 47,798.64 : x
  2. Step 2: Convert to fraction form
    117,919.53/176,878.89 = 47,798.64/x
  3. Step 3: Cross multiply
    117,919.53x = 176,878.89 × 47,798.64
  4. Step 4: Simplify right side
    117,919.53x = 8,454,570,386.71
  5. Step 5: Solve for x
    x = 8,454,570,386.71/117,919.53
  6. Step 6: Final answer
    x = 71,697.80

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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.