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Finding the Fourth Proportional to 235,670.22, 353,505.33 and 194,029.74

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Solution

The fourth proportional to 235,670.22, 353,505.33 and 194,029.74 is: 291,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,670.22 : 353,505.33 = 194,029.74 : x
  2. Step 2: Convert to fraction form
    235,670.22/353,505.33 = 194,029.74/x
  3. Step 3: Cross multiply
    235,670.22x = 353,505.33 × 194,029.74
  4. Step 4: Simplify right side
    235,670.22x = 68,590,547,268.51
  5. Step 5: Solve for x
    x = 68,590,547,268.51/235,670.22
  6. Step 6: Final answer
    x = 291,044.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.