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Finding the Fourth Proportional to 194,698.56, 291,935.76 and 76,231.20

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Solution

The fourth proportional to 194,698.56, 291,935.76 and 76,231.20 is: 114,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,698.56 : 291,935.76 = 76,231.20 : x
  2. Step 2: Convert to fraction form
    194,698.56/291,935.76 = 76,231.20/x
  3. Step 3: Cross multiply
    194,698.56x = 291,935.76 × 76,231.20
  4. Step 4: Simplify right side
    194,698.56x = 22,254,613,307.71
  5. Step 5: Solve for x
    x = 22,254,613,307.71/194,698.56
  6. Step 6: Final answer
    x = 114,302.92

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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.