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Finding the Fourth Proportional to 378,148.98, 567,307.74 and 164,951.58

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Solution

The fourth proportional to 378,148.98, 567,307.74 and 164,951.58 is: 247,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,148.98 : 567,307.74 = 164,951.58 : x
  2. Step 2: Convert to fraction form
    378,148.98/567,307.74 = 164,951.58/x
  3. Step 3: Cross multiply
    378,148.98x = 567,307.74 × 164,951.58
  4. Step 4: Simplify right side
    378,148.98x = 93,578,308,059.23
  5. Step 5: Solve for x
    x = 93,578,308,059.23/378,148.98
  6. Step 6: Final answer
    x = 247,464.13

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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.