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Finding the Fourth Proportional to 150,085.88, 224,768.04 and 85,849.33

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Solution

The fourth proportional to 150,085.88, 224,768.04 and 85,849.33 is: 128,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,085.88 : 224,768.04 = 85,849.33 : x
  2. Step 2: Convert to fraction form
    150,085.88/224,768.04 = 85,849.33/x
  3. Step 3: Cross multiply
    150,085.88x = 224,768.04 × 85,849.33
  4. Step 4: Simplify right side
    150,085.88x = 19,296,186,547.78
  5. Step 5: Solve for x
    x = 19,296,186,547.78/150,085.88
  6. Step 6: Final answer
    x = 128,567.63

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1.5x scale

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.