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Finding the Fourth Proportional to 191,840.36, 264,739.86 and 106,955.72

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Solution

The fourth proportional to 191,840.36, 264,739.86 and 106,955.72 is: 147,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,840.36 : 264,739.86 = 106,955.72 : x
  2. Step 2: Convert to fraction form
    191,840.36/264,739.86 = 106,955.72/x
  3. Step 3: Cross multiply
    191,840.36x = 264,739.86 × 106,955.72
  4. Step 4: Simplify right side
    191,840.36x = 28,315,442,339.00
  5. Step 5: Solve for x
    x = 28,315,442,339.00/191,840.36
  6. Step 6: Final answer
    x = 147,598.98

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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.