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Finding the Fourth Proportional to 237,407.71, 355,945.49 and 119,014.46

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Solution

The fourth proportional to 237,407.71, 355,945.49 and 119,014.46 is: 178,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,407.71 : 355,945.49 = 119,014.46 : x
  2. Step 2: Convert to fraction form
    237,407.71/355,945.49 = 119,014.46/x
  3. Step 3: Cross multiply
    237,407.71x = 355,945.49 × 119,014.46
  4. Step 4: Simplify right side
    237,407.71x = 42,362,660,281.79
  5. Step 5: Solve for x
    x = 42,362,660,281.79/237,407.71
  6. Step 6: Final answer
    x = 178,438.44

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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.