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Finding the Fourth Proportional to 299,089.40, 448,713.30 and 130,537.40

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Solution

The fourth proportional to 299,089.40, 448,713.30 and 130,537.40 is: 195,840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,089.40 : 448,713.30 = 130,537.40 : x
  2. Step 2: Convert to fraction form
    299,089.40/448,713.30 = 130,537.40/x
  3. Step 3: Cross multiply
    299,089.40x = 448,713.30 × 130,537.40
  4. Step 4: Simplify right side
    299,089.40x = 58,573,867,527.42
  5. Step 5: Solve for x
    x = 58,573,867,527.42/299,089.40
  6. Step 6: Final answer
    x = 195,840.67

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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.