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Finding the Fourth Proportional to 264,080.16, 364,428.96 and 143,224.32

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Solution

The fourth proportional to 264,080.16, 364,428.96 and 143,224.32 is: 197,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,080.16 : 364,428.96 = 143,224.32 : x
  2. Step 2: Convert to fraction form
    264,080.16/364,428.96 = 143,224.32/x
  3. Step 3: Cross multiply
    264,080.16x = 364,428.96 × 143,224.32
  4. Step 4: Simplify right side
    264,080.16x = 52,195,089,984.31
  5. Step 5: Solve for x
    x = 52,195,089,984.31/264,080.16
  6. Step 6: Final answer
    x = 197,648.66

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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.