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Finding the Fourth Proportional to 214,188.76, 295,582.14 and 118,697

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Solution

The fourth proportional to 214,188.76, 295,582.14 and 118,697 is: 163,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,188.76 : 295,582.14 = 118,697 : x
  2. Step 2: Convert to fraction form
    214,188.76/295,582.14 = 118,697/x
  3. Step 3: Cross multiply
    214,188.76x = 295,582.14 × 118,697
  4. Step 4: Simplify right side
    214,188.76x = 35,084,713,271.58
  5. Step 5: Solve for x
    x = 35,084,713,271.58/214,188.76
  6. Step 6: Final answer
    x = 163,802.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.