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Finding the Fourth Proportional to 313,690.74, 470,271.54 and 136,064.01

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Solution

The fourth proportional to 313,690.74, 470,271.54 and 136,064.01 is: 203,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,690.74 : 470,271.54 = 136,064.01 : x
  2. Step 2: Convert to fraction form
    313,690.74/470,271.54 = 136,064.01/x
  3. Step 3: Cross multiply
    313,690.74x = 470,271.54 × 136,064.01
  4. Step 4: Simplify right side
    313,690.74x = 63,987,031,521.28
  5. Step 5: Solve for x
    x = 63,987,031,521.28/313,690.74
  6. Step 6: Final answer
    x = 203,981.26

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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.