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Finding the Fourth Proportional to 191,485.10, 264,160.76 and 123,524

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Solution

The fourth proportional to 191,485.10, 264,160.76 and 123,524 is: 170,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,485.10 : 264,160.76 = 123,524 : x
  2. Step 2: Convert to fraction form
    191,485.10/264,160.76 = 123,524/x
  3. Step 3: Cross multiply
    191,485.10x = 264,160.76 × 123,524
  4. Step 4: Simplify right side
    191,485.10x = 32,630,193,718.24
  5. Step 5: Solve for x
    x = 32,630,193,718.24/191,485.10
  6. Step 6: Final answer
    x = 170,405.92

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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.