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Finding the Fourth Proportional to 212,298.06, 292,971.82 and 116,810.90

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Solution

The fourth proportional to 212,298.06, 292,971.82 and 116,810.90 is: 161,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,298.06 : 292,971.82 = 116,810.90 : x
  2. Step 2: Convert to fraction form
    212,298.06/292,971.82 = 116,810.90/x
  3. Step 3: Cross multiply
    212,298.06x = 292,971.82 × 116,810.90
  4. Step 4: Simplify right side
    212,298.06x = 34,222,301,968.84
  5. Step 5: Solve for x
    x = 34,222,301,968.84/212,298.06
  6. Step 6: Final answer
    x = 161,199.32

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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.