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Finding the Fourth Proportional to 192,225.12, 265,259.68 and 114,788.16

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Solution

The fourth proportional to 192,225.12, 265,259.68 and 114,788.16 is: 158,401.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,225.12 : 265,259.68 = 114,788.16 : x
  2. Step 2: Convert to fraction form
    192,225.12/265,259.68 = 114,788.16/x
  3. Step 3: Cross multiply
    192,225.12x = 265,259.68 × 114,788.16
  4. Step 4: Simplify right side
    192,225.12x = 30,448,669,263.09
  5. Step 5: Solve for x
    x = 30,448,669,263.09/192,225.12
  6. Step 6: Final answer
    x = 158,401.09

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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.