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Finding the Fourth Proportional to 195,077, 292,615.64 and 47,333

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Solution

The fourth proportional to 195,077, 292,615.64 and 47,333 is: 70,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,077 : 292,615.64 = 47,333 : x
  2. Step 2: Convert to fraction form
    195,077/292,615.64 = 47,333/x
  3. Step 3: Cross multiply
    195,077x = 292,615.64 × 47,333
  4. Step 4: Simplify right side
    195,077x = 13,850,376,088.12
  5. Step 5: Solve for x
    x = 13,850,376,088.12/195,077
  6. Step 6: Final answer
    x = 70,999.53

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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.