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Finding the Fourth Proportional to 191,512.74, 264,298.48 and 115,055.22

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Solution

The fourth proportional to 191,512.74, 264,298.48 and 115,055.22 is: 158,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,512.74 : 264,298.48 = 115,055.22 : x
  2. Step 2: Convert to fraction form
    191,512.74/264,298.48 = 115,055.22/x
  3. Step 3: Cross multiply
    191,512.74x = 264,298.48 × 115,055.22
  4. Step 4: Simplify right side
    191,512.74x = 30,408,919,762.07
  5. Step 5: Solve for x
    x = 30,408,919,762.07/191,512.74
  6. Step 6: Final answer
    x = 158,782.75

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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.