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Finding the Fourth Proportional to 350,921.84, 526,426.50 and 114,200.96

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Solution

The fourth proportional to 350,921.84, 526,426.50 and 114,200.96 is: 171,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,921.84 : 526,426.50 = 114,200.96 : x
  2. Step 2: Convert to fraction form
    350,921.84/526,426.50 = 114,200.96/x
  3. Step 3: Cross multiply
    350,921.84x = 526,426.50 × 114,200.96
  4. Step 4: Simplify right side
    350,921.84x = 60,118,411,669.44
  5. Step 5: Solve for x
    x = 60,118,411,669.44/350,921.84
  6. Step 6: Final answer
    x = 171,315.67

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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.