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Finding the Fourth Proportional to 264,677.85, 365,214.30 and 157,245.12

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Solution

The fourth proportional to 264,677.85, 365,214.30 and 157,245.12 is: 216,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,677.85 : 365,214.30 = 157,245.12 : x
  2. Step 2: Convert to fraction form
    264,677.85/365,214.30 = 157,245.12/x
  3. Step 3: Cross multiply
    264,677.85x = 365,214.30 × 157,245.12
  4. Step 4: Simplify right side
    264,677.85x = 57,428,166,429.22
  5. Step 5: Solve for x
    x = 57,428,166,429.22/264,677.85
  6. Step 6: Final answer
    x = 216,973.83

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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.