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Finding the Fourth Proportional to 357,150.14, 535,719.36 and 143,912.90

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Solution

The fourth proportional to 357,150.14, 535,719.36 and 143,912.90 is: 215,866.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,150.14 : 535,719.36 = 143,912.90 : x
  2. Step 2: Convert to fraction form
    357,150.14/535,719.36 = 143,912.90/x
  3. Step 3: Cross multiply
    357,150.14x = 535,719.36 × 143,912.90
  4. Step 4: Simplify right side
    357,150.14x = 77,096,926,683.74
  5. Step 5: Solve for x
    x = 77,096,926,683.74/357,150.14
  6. Step 6: Final answer
    x = 215,866.99

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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.