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Finding the Fourth Proportional to 194,464.28, 291,878.48 and 119,730.32

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Solution

The fourth proportional to 194,464.28, 291,878.48 and 119,730.32 is: 179,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,464.28 : 291,878.48 = 119,730.32 : x
  2. Step 2: Convert to fraction form
    194,464.28/291,878.48 = 119,730.32/x
  3. Step 3: Cross multiply
    194,464.28x = 291,878.48 × 119,730.32
  4. Step 4: Simplify right side
    194,464.28x = 34,946,703,811.51
  5. Step 5: Solve for x
    x = 34,946,703,811.51/194,464.28
  6. Step 6: Final answer
    x = 179,707.57

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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.