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Finding the Fourth Proportional to 254,653.16, 381,848.34 and 114,291.68

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Solution

The fourth proportional to 254,653.16, 381,848.34 and 114,291.68 is: 171,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,653.16 : 381,848.34 = 114,291.68 : x
  2. Step 2: Convert to fraction form
    254,653.16/381,848.34 = 114,291.68/x
  3. Step 3: Cross multiply
    254,653.16x = 381,848.34 × 114,291.68
  4. Step 4: Simplify right side
    254,653.16x = 43,642,088,283.81
  5. Step 5: Solve for x
    x = 43,642,088,283.81/254,653.16
  6. Step 6: Final answer
    x = 171,378.55

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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.