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Finding the Fourth Proportional to 214,106, 295,442.42 and 118,588.80

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Solution

The fourth proportional to 214,106, 295,442.42 and 118,588.80 is: 163,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,106 : 295,442.42 = 118,588.80 : x
  2. Step 2: Convert to fraction form
    214,106/295,442.42 = 118,588.80/x
  3. Step 3: Cross multiply
    214,106x = 295,442.42 × 118,588.80
  4. Step 4: Simplify right side
    214,106x = 35,036,162,056.90
  5. Step 5: Solve for x
    x = 35,036,162,056.90/214,106
  6. Step 6: Final answer
    x = 163,639.33

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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.