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Finding the Fourth Proportional to 299,077.40, 448,695.30 and 130,525.40

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Solution

The fourth proportional to 299,077.40, 448,695.30 and 130,525.40 is: 195,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,077.40 : 448,695.30 = 130,525.40 : x
  2. Step 2: Convert to fraction form
    299,077.40/448,695.30 = 130,525.40/x
  3. Step 3: Cross multiply
    299,077.40x = 448,695.30 × 130,525.40
  4. Step 4: Simplify right side
    299,077.40x = 58,566,133,510.62
  5. Step 5: Solve for x
    x = 58,566,133,510.62/299,077.40
  6. Step 6: Final answer
    x = 195,822.67

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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.