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Finding the Fourth Proportional to 113,459.66, 170,189.50 and 30,351.50

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Solution

The fourth proportional to 113,459.66, 170,189.50 and 30,351.50 is: 45,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,459.66 : 170,189.50 = 30,351.50 : x
  2. Step 2: Convert to fraction form
    113,459.66/170,189.50 = 30,351.50/x
  3. Step 3: Cross multiply
    113,459.66x = 170,189.50 × 30,351.50
  4. Step 4: Simplify right side
    113,459.66x = 5,165,506,609.25
  5. Step 5: Solve for x
    x = 5,165,506,609.25/113,459.66
  6. Step 6: Final answer
    x = 45,527.25

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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.