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Finding the Fourth Proportional to 205,667.40, 308,501.10 and 122,723.40

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Solution

The fourth proportional to 205,667.40, 308,501.10 and 122,723.40 is: 184,085.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,667.40 : 308,501.10 = 122,723.40 : x
  2. Step 2: Convert to fraction form
    205,667.40/308,501.10 = 122,723.40/x
  3. Step 3: Cross multiply
    205,667.40x = 308,501.10 × 122,723.40
  4. Step 4: Simplify right side
    205,667.40x = 37,860,303,895.74
  5. Step 5: Solve for x
    x = 37,860,303,895.74/205,667.40
  6. Step 6: Final answer
    x = 184,085.10

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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.