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Finding the Fourth Proportional to 254,656.16, 381,852.84 and 114,294.68

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Solution

The fourth proportional to 254,656.16, 381,852.84 and 114,294.68 is: 171,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,656.16 : 381,852.84 = 114,294.68 : x
  2. Step 2: Convert to fraction form
    254,656.16/381,852.84 = 114,294.68/x
  3. Step 3: Cross multiply
    254,656.16x = 381,852.84 × 114,294.68
  4. Step 4: Simplify right side
    254,656.16x = 43,643,748,154.89
  5. Step 5: Solve for x
    x = 43,643,748,154.89/254,656.16
  6. Step 6: Final answer
    x = 171,383.05

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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.