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Finding the Fourth Proportional to 214,035.98, 295,089.55 and 184,142.39

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Solution

The fourth proportional to 214,035.98, 295,089.55 and 184,142.39 is: 253,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,035.98 : 295,089.55 = 184,142.39 : x
  2. Step 2: Convert to fraction form
    214,035.98/295,089.55 = 184,142.39/x
  3. Step 3: Cross multiply
    214,035.98x = 295,089.55 × 184,142.39
  4. Step 4: Simplify right side
    214,035.98x = 54,338,493,065.22
  5. Step 5: Solve for x
    x = 54,338,493,065.22/214,035.98
  6. Step 6: Final answer
    x = 253,875.51

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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.