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Finding the Fourth Proportional to 194,995.20, 292,502.40 and 101,683.20

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Solution

The fourth proportional to 194,995.20, 292,502.40 and 101,683.20 is: 152,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,995.20 : 292,502.40 = 101,683.20 : x
  2. Step 2: Convert to fraction form
    194,995.20/292,502.40 = 101,683.20/x
  3. Step 3: Cross multiply
    194,995.20x = 292,502.40 × 101,683.20
  4. Step 4: Simplify right side
    194,995.20x = 29,742,580,039.68
  5. Step 5: Solve for x
    x = 29,742,580,039.68/194,995.20
  6. Step 6: Final answer
    x = 152,529.81

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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.