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Finding the Fourth Proportional to 214,846.40, 296,481.60 and 118,050.08

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Solution

The fourth proportional to 214,846.40, 296,481.60 and 118,050.08 is: 162,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,846.40 : 296,481.60 = 118,050.08 : x
  2. Step 2: Convert to fraction form
    214,846.40/296,481.60 = 118,050.08/x
  3. Step 3: Cross multiply
    214,846.40x = 296,481.60 × 118,050.08
  4. Step 4: Simplify right side
    214,846.40x = 34,999,676,598.53
  5. Step 5: Solve for x
    x = 34,999,676,598.53/214,846.40
  6. Step 6: Final answer
    x = 162,905.58

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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.