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Finding the Fourth Proportional to 230,047, 317,353.56 and 148,353.67

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Solution

The fourth proportional to 230,047, 317,353.56 and 148,353.67 is: 204,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,047 : 317,353.56 = 148,353.67 : x
  2. Step 2: Convert to fraction form
    230,047/317,353.56 = 148,353.67/x
  3. Step 3: Cross multiply
    230,047x = 317,353.56 × 148,353.67
  4. Step 4: Simplify right side
    230,047x = 47,080,565,313.57
  5. Step 5: Solve for x
    x = 47,080,565,313.57/230,047
  6. Step 6: Final answer
    x = 204,656.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.