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Finding the Fourth Proportional to 190,242.83, 283,685.41 and 188,534.49

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Solution

The fourth proportional to 190,242.83, 283,685.41 and 188,534.49 is: 281,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,242.83 : 283,685.41 = 188,534.49 : x
  2. Step 2: Convert to fraction form
    190,242.83/283,685.41 = 188,534.49/x
  3. Step 3: Cross multiply
    190,242.83x = 283,685.41 × 188,534.49
  4. Step 4: Simplify right side
    190,242.83x = 53,484,484,094.79
  5. Step 5: Solve for x
    x = 53,484,484,094.79/190,242.83
  6. Step 6: Final answer
    x = 281,137.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.