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Finding the Fourth Proportional to 225,774.86, 338,664.34 and 97,667.24

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Solution

The fourth proportional to 225,774.86, 338,664.34 and 97,667.24 is: 146,501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,774.86 : 338,664.34 = 97,667.24 : x
  2. Step 2: Convert to fraction form
    225,774.86/338,664.34 = 97,667.24/x
  3. Step 3: Cross multiply
    225,774.86x = 338,664.34 × 97,667.24
  4. Step 4: Simplify right side
    225,774.86x = 33,076,411,374.22
  5. Step 5: Solve for x
    x = 33,076,411,374.22/225,774.86
  6. Step 6: Final answer
    x = 146,501.75

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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.