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Finding the Fourth Proportional to 178,858, 246,875.88 and 119,242

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Solution

The fourth proportional to 178,858, 246,875.88 and 119,242 is: 164,588.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,858 : 246,875.88 = 119,242 : x
  2. Step 2: Convert to fraction form
    178,858/246,875.88 = 119,242/x
  3. Step 3: Cross multiply
    178,858x = 246,875.88 × 119,242
  4. Step 4: Simplify right side
    178,858x = 29,437,973,682.96
  5. Step 5: Solve for x
    x = 29,437,973,682.96/178,858
  6. Step 6: Final answer
    x = 164,588.52

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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.