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Finding the Fourth Proportional to 265,574.85, 398,424.44 and 105,659.84

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Solution

The fourth proportional to 265,574.85, 398,424.44 and 105,659.84 is: 158,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,574.85 : 398,424.44 = 105,659.84 : x
  2. Step 2: Convert to fraction form
    265,574.85/398,424.44 = 105,659.84/x
  3. Step 3: Cross multiply
    265,574.85x = 398,424.44 × 105,659.84
  4. Step 4: Simplify right side
    265,574.85x = 42,097,460,062.07
  5. Step 5: Solve for x
    x = 42,097,460,062.07/265,574.85
  6. Step 6: Final answer
    x = 158,514.48

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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.