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Finding the Fourth Proportional to 264,670.81, 396,782.93 and 114,798.20

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Solution

The fourth proportional to 264,670.81, 396,782.93 and 114,798.20 is: 172,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,670.81 : 396,782.93 = 114,798.20 : x
  2. Step 2: Convert to fraction form
    264,670.81/396,782.93 = 114,798.20/x
  3. Step 3: Cross multiply
    264,670.81x = 396,782.93 × 114,798.20
  4. Step 4: Simplify right side
    264,670.81x = 45,549,964,457.81
  5. Step 5: Solve for x
    x = 45,549,964,457.81/264,670.81
  6. Step 6: Final answer
    x = 172,100.45

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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.