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Finding the Fourth Proportional to 302,026.86, 416,804.96 and 164,215.06

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Solution

The fourth proportional to 302,026.86, 416,804.96 and 164,215.06 is: 226,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,026.86 : 416,804.96 = 164,215.06 : x
  2. Step 2: Convert to fraction form
    302,026.86/416,804.96 = 164,215.06/x
  3. Step 3: Cross multiply
    302,026.86x = 416,804.96 × 164,215.06
  4. Step 4: Simplify right side
    302,026.86x = 68,445,651,514.70
  5. Step 5: Solve for x
    x = 68,445,651,514.70/302,026.86
  6. Step 6: Final answer
    x = 226,621.07

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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.