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Finding the Fourth Proportional to 315,852.36, 473,763.96 and 116,158.20

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Solution

The fourth proportional to 315,852.36, 473,763.96 and 116,158.20 is: 174,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,852.36 : 473,763.96 = 116,158.20 : x
  2. Step 2: Convert to fraction form
    315,852.36/473,763.96 = 116,158.20/x
  3. Step 3: Cross multiply
    315,852.36x = 473,763.96 × 116,158.20
  4. Step 4: Simplify right side
    315,852.36x = 55,031,568,818.47
  5. Step 5: Solve for x
    x = 55,031,568,818.47/315,852.36
  6. Step 6: Final answer
    x = 174,231.94

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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.