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Finding the Fourth Proportional to 141,951, 212,962.50 and 53,204.76

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Solution

The fourth proportional to 141,951, 212,962.50 and 53,204.76 is: 79,820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,951 : 212,962.50 = 53,204.76 : x
  2. Step 2: Convert to fraction form
    141,951/212,962.50 = 53,204.76/x
  3. Step 3: Cross multiply
    141,951x = 212,962.50 × 53,204.76
  4. Step 4: Simplify right side
    141,951x = 11,330,618,701.50
  5. Step 5: Solve for x
    x = 11,330,618,701.50/141,951
  6. Step 6: Final answer
    x = 79,820.63

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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.