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Finding the Fourth Proportional to 191,830.68, 264,893.49 and 120,333.60

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Solution

The fourth proportional to 191,830.68, 264,893.49 and 120,333.60 is: 166,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,830.68 : 264,893.49 = 120,333.60 : x
  2. Step 2: Convert to fraction form
    191,830.68/264,893.49 = 120,333.60/x
  3. Step 3: Cross multiply
    191,830.68x = 264,893.49 × 120,333.60
  4. Step 4: Simplify right side
    191,830.68x = 31,875,587,268.26
  5. Step 5: Solve for x
    x = 31,875,587,268.26/191,830.68
  6. Step 6: Final answer
    x = 166,165.22

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1.5x scale

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.