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Finding the Fourth Proportional to 208,841.84, 313,262.80 and 51,068.40

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Solution

The fourth proportional to 208,841.84, 313,262.80 and 51,068.40 is: 76,602.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,841.84 : 313,262.80 = 51,068.40 : x
  2. Step 2: Convert to fraction form
    208,841.84/313,262.80 = 51,068.40/x
  3. Step 3: Cross multiply
    208,841.84x = 313,262.80 × 51,068.40
  4. Step 4: Simplify right side
    208,841.84x = 15,997,829,975.52
  5. Step 5: Solve for x
    x = 15,997,829,975.52/208,841.84
  6. Step 6: Final answer
    x = 76,602.61

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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.