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Finding the Fourth Proportional to 214,045.70, 295,387.98 and 117,258.80

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Solution

The fourth proportional to 214,045.70, 295,387.98 and 117,258.80 is: 161,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,045.70 : 295,387.98 = 117,258.80 : x
  2. Step 2: Convert to fraction form
    214,045.70/295,387.98 = 117,258.80/x
  3. Step 3: Cross multiply
    214,045.70x = 295,387.98 × 117,258.80
  4. Step 4: Simplify right side
    214,045.70x = 34,636,840,069.22
  5. Step 5: Solve for x
    x = 34,636,840,069.22/214,045.70
  6. Step 6: Final answer
    x = 161,819.84

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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.