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Finding the Fourth Proportional to 194,998.54, 292,497.81 and 70,339.54

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Solution

The fourth proportional to 194,998.54, 292,497.81 and 70,339.54 is: 105,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,998.54 : 292,497.81 = 70,339.54 : x
  2. Step 2: Convert to fraction form
    194,998.54/292,497.81 = 70,339.54/x
  3. Step 3: Cross multiply
    194,998.54x = 292,497.81 × 70,339.54
  4. Step 4: Simplify right side
    194,998.54x = 20,574,161,406.41
  5. Step 5: Solve for x
    x = 20,574,161,406.41/194,998.54
  6. Step 6: Final answer
    x = 105,509.31

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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.