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Finding the Fourth Proportional to 274,368.16, 378,642.78 and 153,502.24

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Solution

The fourth proportional to 274,368.16, 378,642.78 and 153,502.24 is: 211,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,368.16 : 378,642.78 = 153,502.24 : x
  2. Step 2: Convert to fraction form
    274,368.16/378,642.78 = 153,502.24/x
  3. Step 3: Cross multiply
    274,368.16x = 378,642.78 × 153,502.24
  4. Step 4: Simplify right side
    274,368.16x = 58,122,514,889.83
  5. Step 5: Solve for x
    x = 58,122,514,889.83/274,368.16
  6. Step 6: Final answer
    x = 211,841.33

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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.