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Finding the Fourth Proportional to 181,905, 251,019.14 and 100,230.72

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Solution

The fourth proportional to 181,905, 251,019.14 and 100,230.72 is: 138,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,905 : 251,019.14 = 100,230.72 : x
  2. Step 2: Convert to fraction form
    181,905/251,019.14 = 100,230.72/x
  3. Step 3: Cross multiply
    181,905x = 251,019.14 × 100,230.72
  4. Step 4: Simplify right side
    181,905x = 25,159,829,135.98
  5. Step 5: Solve for x
    x = 25,159,829,135.98/181,905
  6. Step 6: Final answer
    x = 138,313.02

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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.