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Finding the Fourth Proportional to 214,459.95, 295,968.76 and 123,819.74

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Solution

The fourth proportional to 214,459.95, 295,968.76 and 123,819.74 is: 170,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,459.95 : 295,968.76 = 123,819.74 : x
  2. Step 2: Convert to fraction form
    214,459.95/295,968.76 = 123,819.74/x
  3. Step 3: Cross multiply
    214,459.95x = 295,968.76 × 123,819.74
  4. Step 4: Simplify right side
    214,459.95x = 36,646,774,580.06
  5. Step 5: Solve for x
    x = 36,646,774,580.06/214,459.95
  6. Step 6: Final answer
    x = 170,879.34

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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.