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Finding the Fourth Proportional to 265,643.56, 366,577.46 and 144,782.32

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Solution

The fourth proportional to 265,643.56, 366,577.46 and 144,782.32 is: 199,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,643.56 : 366,577.46 = 144,782.32 : x
  2. Step 2: Convert to fraction form
    265,643.56/366,577.46 = 144,782.32/x
  3. Step 3: Cross multiply
    265,643.56x = 366,577.46 × 144,782.32
  4. Step 4: Simplify right side
    265,643.56x = 53,073,935,118.51
  5. Step 5: Solve for x
    x = 53,073,935,118.51/265,643.56
  6. Step 6: Final answer
    x = 199,793.80

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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.