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Finding the Fourth Proportional to 117,152, 175,728.64 and 29,600

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Solution

The fourth proportional to 117,152, 175,728.64 and 29,600 is: 44,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,152 : 175,728.64 = 29,600 : x
  2. Step 2: Convert to fraction form
    117,152/175,728.64 = 29,600/x
  3. Step 3: Cross multiply
    117,152x = 175,728.64 × 29,600
  4. Step 4: Simplify right side
    117,152x = 5,201,567,744
  5. Step 5: Solve for x
    x = 5,201,567,744/117,152
  6. Step 6: Final answer
    x = 44,400.16

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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.