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Finding the Fourth Proportional to 190,175.42, 262,459.68 and 105,292.49

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Solution

The fourth proportional to 190,175.42, 262,459.68 and 105,292.49 is: 145,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,175.42 : 262,459.68 = 105,292.49 : x
  2. Step 2: Convert to fraction form
    190,175.42/262,459.68 = 105,292.49/x
  3. Step 3: Cross multiply
    190,175.42x = 262,459.68 × 105,292.49
  4. Step 4: Simplify right side
    190,175.42x = 27,635,031,919.50
  5. Step 5: Solve for x
    x = 27,635,031,919.50/190,175.42
  6. Step 6: Final answer
    x = 145,313.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.