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Finding the Fourth Proportional to 264,376.56, 364,840.32 and 143,518.08

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Solution

The fourth proportional to 264,376.56, 364,840.32 and 143,518.08 is: 198,055.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,376.56 : 364,840.32 = 143,518.08 : x
  2. Step 2: Convert to fraction form
    264,376.56/364,840.32 = 143,518.08/x
  3. Step 3: Cross multiply
    264,376.56x = 364,840.32 × 143,518.08
  4. Step 4: Simplify right side
    264,376.56x = 52,361,182,232.99
  5. Step 5: Solve for x
    x = 52,361,182,232.99/264,376.56
  6. Step 6: Final answer
    x = 198,055.31

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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.