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Finding the Fourth Proportional to 173,148.80, 259,731.30 and 54,829.40

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Solution

The fourth proportional to 173,148.80, 259,731.30 and 54,829.40 is: 82,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,148.80 : 259,731.30 = 54,829.40 : x
  2. Step 2: Convert to fraction form
    173,148.80/259,731.30 = 54,829.40/x
  3. Step 3: Cross multiply
    173,148.80x = 259,731.30 × 54,829.40
  4. Step 4: Simplify right side
    173,148.80x = 14,240,911,340.22
  5. Step 5: Solve for x
    x = 14,240,911,340.22/173,148.80
  6. Step 6: Final answer
    x = 82,246.66

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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.