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Finding the Fourth Proportional to 113,804.93, 170,783.57 and 47,245.11

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Solution

The fourth proportional to 113,804.93, 170,783.57 and 47,245.11 is: 70,899.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,804.93 : 170,783.57 = 47,245.11 : x
  2. Step 2: Convert to fraction form
    113,804.93/170,783.57 = 47,245.11/x
  3. Step 3: Cross multiply
    113,804.93x = 170,783.57 × 47,245.11
  4. Step 4: Simplify right side
    113,804.93x = 8,068,688,314.62
  5. Step 5: Solve for x
    x = 8,068,688,314.62/113,804.93
  6. Step 6: Final answer
    x = 70,899.29

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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.