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Finding the Fourth Proportional to 264,082, 364,433.76 and 150,904.48

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Solution

The fourth proportional to 264,082, 364,433.76 and 150,904.48 is: 208,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,082 : 364,433.76 = 150,904.48 : x
  2. Step 2: Convert to fraction form
    264,082/364,433.76 = 150,904.48/x
  3. Step 3: Cross multiply
    264,082x = 364,433.76 × 150,904.48
  4. Step 4: Simplify right side
    264,082x = 54,994,687,047.24
  5. Step 5: Solve for x
    x = 54,994,687,047.24/264,082
  6. Step 6: Final answer
    x = 208,248.53

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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.