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Finding the Fourth Proportional to 191,341.58, 264,064 and 106,458.82

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Solution

The fourth proportional to 191,341.58, 264,064 and 106,458.82 is: 146,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,341.58 : 264,064 = 106,458.82 : x
  2. Step 2: Convert to fraction form
    191,341.58/264,064 = 106,458.82/x
  3. Step 3: Cross multiply
    191,341.58x = 264,064 × 106,458.82
  4. Step 4: Simplify right side
    191,341.58x = 28,111,941,844.48
  5. Step 5: Solve for x
    x = 28,111,941,844.48/191,341.58
  6. Step 6: Final answer
    x = 146,920.19

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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.