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Finding the Fourth Proportional to 214,269.36, 295,660.64 and 118,776

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Solution

The fourth proportional to 214,269.36, 295,660.64 and 118,776 is: 163,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,269.36 : 295,660.64 = 118,776 : x
  2. Step 2: Convert to fraction form
    214,269.36/295,660.64 = 118,776/x
  3. Step 3: Cross multiply
    214,269.36x = 295,660.64 × 118,776
  4. Step 4: Simplify right side
    214,269.36x = 35,117,388,176.64
  5. Step 5: Solve for x
    x = 35,117,388,176.64/214,269.36
  6. Step 6: Final answer
    x = 163,893.65

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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.