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Finding the Fourth Proportional to 214,106.20, 295,484.70 and 118,642.84

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Solution

The fourth proportional to 214,106.20, 295,484.70 and 118,642.84 is: 163,737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,106.20 : 295,484.70 = 118,642.84 : x
  2. Step 2: Convert to fraction form
    214,106.20/295,484.70 = 118,642.84/x
  3. Step 3: Cross multiply
    214,106.20x = 295,484.70 × 118,642.84
  4. Step 4: Simplify right side
    214,106.20x = 35,057,143,984.55
  5. Step 5: Solve for x
    x = 35,057,143,984.55/214,106.20
  6. Step 6: Final answer
    x = 163,737.17

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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.