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Finding the Fourth Proportional to 199,453.51, 299,292 and 105,956.83

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Solution

The fourth proportional to 199,453.51, 299,292 and 105,956.83 is: 158,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,453.51 : 299,292 = 105,956.83 : x
  2. Step 2: Convert to fraction form
    199,453.51/299,292 = 105,956.83/x
  3. Step 3: Cross multiply
    199,453.51x = 299,292 × 105,956.83
  4. Step 4: Simplify right side
    199,453.51x = 31,712,031,564.36
  5. Step 5: Solve for x
    x = 31,712,031,564.36/199,453.51
  6. Step 6: Final answer
    x = 158,994.60

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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.