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Finding the Fourth Proportional to 292,237.70, 437,969.03 and 150,077.23

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Solution

The fourth proportional to 292,237.70, 437,969.03 and 150,077.23 is: 224,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,237.70 : 437,969.03 = 150,077.23 : x
  2. Step 2: Convert to fraction form
    292,237.70/437,969.03 = 150,077.23/x
  3. Step 3: Cross multiply
    292,237.70x = 437,969.03 × 150,077.23
  4. Step 4: Simplify right side
    292,237.70x = 65,729,178,848.19
  5. Step 5: Solve for x
    x = 65,729,178,848.19/292,237.70
  6. Step 6: Final answer
    x = 224,916.84

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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.