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Finding the Fourth Proportional to 102,105.73, 153,186.14 and 35,549.65

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Solution

The fourth proportional to 102,105.73, 153,186.14 and 35,549.65 is: 53,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,105.73 : 153,186.14 = 35,549.65 : x
  2. Step 2: Convert to fraction form
    102,105.73/153,186.14 = 35,549.65/x
  3. Step 3: Cross multiply
    102,105.73x = 153,186.14 × 35,549.65
  4. Step 4: Simplify right side
    102,105.73x = 5,445,713,661.85
  5. Step 5: Solve for x
    x = 5,445,713,661.85/102,105.73
  6. Step 6: Final answer
    x = 53,334.07

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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.