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Finding the Fourth Proportional to 113,807.60, 170,615 and 47,206.16

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Solution

The fourth proportional to 113,807.60, 170,615 and 47,206.16 is: 70,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,807.60 : 170,615 = 47,206.16 : x
  2. Step 2: Convert to fraction form
    113,807.60/170,615 = 47,206.16/x
  3. Step 3: Cross multiply
    113,807.60x = 170,615 × 47,206.16
  4. Step 4: Simplify right side
    113,807.60x = 8,054,078,988.40
  5. Step 5: Solve for x
    x = 8,054,078,988.40/113,807.60
  6. Step 6: Final answer
    x = 70,769.25

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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.