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Finding the Fourth Proportional to 208,052.70, 312,079.05 and 173,031.90

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Solution

The fourth proportional to 208,052.70, 312,079.05 and 173,031.90 is: 259,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,052.70 : 312,079.05 = 173,031.90 : x
  2. Step 2: Convert to fraction form
    208,052.70/312,079.05 = 173,031.90/x
  3. Step 3: Cross multiply
    208,052.70x = 312,079.05 × 173,031.90
  4. Step 4: Simplify right side
    208,052.70x = 53,999,630,971.70
  5. Step 5: Solve for x
    x = 53,999,630,971.70/208,052.70
  6. Step 6: Final answer
    x = 259,547.85

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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.