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Finding the Fourth Proportional to 264,117.24, 364,443.30 and 150,918.12

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Solution

The fourth proportional to 264,117.24, 364,443.30 and 150,918.12 is: 208,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,117.24 : 364,443.30 = 150,918.12 : x
  2. Step 2: Convert to fraction form
    264,117.24/364,443.30 = 150,918.12/x
  3. Step 3: Cross multiply
    264,117.24x = 364,443.30 × 150,918.12
  4. Step 4: Simplify right side
    264,117.24x = 55,001,097,682.60
  5. Step 5: Solve for x
    x = 55,001,097,682.60/264,117.24
  6. Step 6: Final answer
    x = 208,245.01

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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.