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Finding the Fourth Proportional to 214,205.74, 295,598.86 and 118,710.38

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Solution

The fourth proportional to 214,205.74, 295,598.86 and 118,710.38 is: 163,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,205.74 : 295,598.86 = 118,710.38 : x
  2. Step 2: Convert to fraction form
    214,205.74/295,598.86 = 118,710.38/x
  3. Step 3: Cross multiply
    214,205.74x = 295,598.86 × 118,710.38
  4. Step 4: Simplify right side
    214,205.74x = 35,090,652,998.17
  5. Step 5: Solve for x
    x = 35,090,652,998.17/214,205.74
  6. Step 6: Final answer
    x = 163,817.52

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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.