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Finding the Fourth Proportional to 194,502.32, 291,802.68 and 54,260.88

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Solution

The fourth proportional to 194,502.32, 291,802.68 and 54,260.88 is: 81,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,502.32 : 291,802.68 = 54,260.88 : x
  2. Step 2: Convert to fraction form
    194,502.32/291,802.68 = 54,260.88/x
  3. Step 3: Cross multiply
    194,502.32x = 291,802.68 × 54,260.88
  4. Step 4: Simplify right side
    194,502.32x = 15,833,470,203.16
  5. Step 5: Solve for x
    x = 15,833,470,203.16/194,502.32
  6. Step 6: Final answer
    x = 81,405.05

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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.