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Finding the Fourth Proportional to 133,640, 184,423.60 and 74,024

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Solution

The fourth proportional to 133,640, 184,423.60 and 74,024 is: 102,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,640 : 184,423.60 = 74,024 : x
  2. Step 2: Convert to fraction form
    133,640/184,423.60 = 74,024/x
  3. Step 3: Cross multiply
    133,640x = 184,423.60 × 74,024
  4. Step 4: Simplify right side
    133,640x = 13,651,772,566.40
  5. Step 5: Solve for x
    x = 13,651,772,566.40/133,640
  6. Step 6: Final answer
    x = 102,153.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.