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Finding the Fourth Proportional to 200,782.83, 301,024.45 and 120,802.06

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Solution

The fourth proportional to 200,782.83, 301,024.45 and 120,802.06 is: 181,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,782.83 : 301,024.45 = 120,802.06 : x
  2. Step 2: Convert to fraction form
    200,782.83/301,024.45 = 120,802.06/x
  3. Step 3: Cross multiply
    200,782.83x = 301,024.45 × 120,802.06
  4. Step 4: Simplify right side
    200,782.83x = 36,364,373,670.37
  5. Step 5: Solve for x
    x = 36,364,373,670.37/200,782.83
  6. Step 6: Final answer
    x = 181,112.97

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1.5x scale

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.