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Finding the Fourth Proportional to 194,277.94, 291,403.53 and 119,409.64

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Solution

The fourth proportional to 194,277.94, 291,403.53 and 119,409.64 is: 179,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,277.94 : 291,403.53 = 119,409.64 : x
  2. Step 2: Convert to fraction form
    194,277.94/291,403.53 = 119,409.64/x
  3. Step 3: Cross multiply
    194,277.94x = 291,403.53 × 119,409.64
  4. Step 4: Simplify right side
    194,277.94x = 34,796,389,883.52
  5. Step 5: Solve for x
    x = 34,796,389,883.52/194,277.94
  6. Step 6: Final answer
    x = 179,106.23

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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.