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Finding the Fourth Proportional to 292,751.62, 403,841.40 and 178,065.34

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Solution

The fourth proportional to 292,751.62, 403,841.40 and 178,065.34 is: 245,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,751.62 : 403,841.40 = 178,065.34 : x
  2. Step 2: Convert to fraction form
    292,751.62/403,841.40 = 178,065.34/x
  3. Step 3: Cross multiply
    292,751.62x = 403,841.40 × 178,065.34
  4. Step 4: Simplify right side
    292,751.62x = 71,910,154,519.73
  5. Step 5: Solve for x
    x = 71,910,154,519.73/292,751.62
  6. Step 6: Final answer
    x = 245,635.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.