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Finding the Fourth Proportional to 176,643.94, 264,901.81 and 96,741.28

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Solution

The fourth proportional to 176,643.94, 264,901.81 and 96,741.28 is: 145,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,643.94 : 264,901.81 = 96,741.28 : x
  2. Step 2: Convert to fraction form
    176,643.94/264,901.81 = 96,741.28/x
  3. Step 3: Cross multiply
    176,643.94x = 264,901.81 × 96,741.28
  4. Step 4: Simplify right side
    176,643.94x = 25,626,940,173.72
  5. Step 5: Solve for x
    x = 25,626,940,173.72/176,643.94
  6. Step 6: Final answer
    x = 145,076.81

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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.