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Finding the Fourth Proportional to 196,656.48, 296,311.32 and 162,364.32

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Solution

The fourth proportional to 196,656.48, 296,311.32 and 162,364.32 is: 244,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,656.48 : 296,311.32 = 162,364.32 : x
  2. Step 2: Convert to fraction form
    196,656.48/296,311.32 = 162,364.32/x
  3. Step 3: Cross multiply
    196,656.48x = 296,311.32 × 162,364.32
  4. Step 4: Simplify right side
    196,656.48x = 48,110,385,980.10
  5. Step 5: Solve for x
    x = 48,110,385,980.10/196,656.48
  6. Step 6: Final answer
    x = 244,641.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.