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Finding the Fourth Proportional to 113,804.60, 170,610.50 and 47,203.16

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Solution

The fourth proportional to 113,804.60, 170,610.50 and 47,203.16 is: 70,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,804.60 : 170,610.50 = 47,203.16 : x
  2. Step 2: Convert to fraction form
    113,804.60/170,610.50 = 47,203.16/x
  3. Step 3: Cross multiply
    113,804.60x = 170,610.50 × 47,203.16
  4. Step 4: Simplify right side
    113,804.60x = 8,053,353,994.14
  5. Step 5: Solve for x
    x = 8,053,353,994.14/113,804.60
  6. Step 6: Final answer
    x = 70,764.75

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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.