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Finding the Fourth Proportional to 104,102.34, 156,130.16 and 47,888.46

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Solution

The fourth proportional to 104,102.34, 156,130.16 and 47,888.46 is: 71,821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,102.34 : 156,130.16 = 47,888.46 : x
  2. Step 2: Convert to fraction form
    104,102.34/156,130.16 = 47,888.46/x
  3. Step 3: Cross multiply
    104,102.34x = 156,130.16 × 47,888.46
  4. Step 4: Simplify right side
    104,102.34x = 7,476,832,921.95
  5. Step 5: Solve for x
    x = 7,476,832,921.95/104,102.34
  6. Step 6: Final answer
    x = 71,821.95

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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.