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Finding the Fourth Proportional to 215,298, 297,111.24 and 121,090

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Solution

The fourth proportional to 215,298, 297,111.24 and 121,090 is: 167,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,298 : 297,111.24 = 121,090 : x
  2. Step 2: Convert to fraction form
    215,298/297,111.24 = 121,090/x
  3. Step 3: Cross multiply
    215,298x = 297,111.24 × 121,090
  4. Step 4: Simplify right side
    215,298x = 35,977,200,051.60
  5. Step 5: Solve for x
    x = 35,977,200,051.60/215,298
  6. Step 6: Final answer
    x = 167,104.20

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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.