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Finding the Fourth Proportional to 176,290, 242,844.43 and 150,364.09

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Solution

The fourth proportional to 176,290, 242,844.43 and 150,364.09 is: 207,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,290 : 242,844.43 = 150,364.09 : x
  2. Step 2: Convert to fraction form
    176,290/242,844.43 = 150,364.09/x
  3. Step 3: Cross multiply
    176,290x = 242,844.43 × 150,364.09
  4. Step 4: Simplify right side
    176,290x = 36,515,081,728.52
  5. Step 5: Solve for x
    x = 36,515,081,728.52/176,290
  6. Step 6: Final answer
    x = 207,130.76

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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.