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Finding the Fourth Proportional to 229,729.74, 316,980.59 and 134,217.98

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Solution

The fourth proportional to 229,729.74, 316,980.59 and 134,217.98 is: 185,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,729.74 : 316,980.59 = 134,217.98 : x
  2. Step 2: Convert to fraction form
    229,729.74/316,980.59 = 134,217.98/x
  3. Step 3: Cross multiply
    229,729.74x = 316,980.59 × 134,217.98
  4. Step 4: Simplify right side
    229,729.74x = 42,544,494,610.37
  5. Step 5: Solve for x
    x = 42,544,494,610.37/229,729.74
  6. Step 6: Final answer
    x = 185,193.67

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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.