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Finding the Fourth Proportional to 214,347.32, 295,812.57 and 118,854.02

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Solution

The fourth proportional to 214,347.32, 295,812.57 and 118,854.02 is: 164,025.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,347.32 : 295,812.57 = 118,854.02 : x
  2. Step 2: Convert to fraction form
    214,347.32/295,812.57 = 118,854.02/x
  3. Step 3: Cross multiply
    214,347.32x = 295,812.57 × 118,854.02
  4. Step 4: Simplify right side
    214,347.32x = 35,158,511,631.97
  5. Step 5: Solve for x
    x = 35,158,511,631.97/214,347.32
  6. Step 6: Final answer
    x = 164,025.90

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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.