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Finding the Fourth Proportional to 292,187.66, 438,298.16 and 81,842.00

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Solution

The fourth proportional to 292,187.66, 438,298.16 and 81,842.00 is: 122,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,187.66 : 438,298.16 = 81,842.00 : x
  2. Step 2: Convert to fraction form
    292,187.66/438,298.16 = 81,842.00/x
  3. Step 3: Cross multiply
    292,187.66x = 438,298.16 × 81,842.00
  4. Step 4: Simplify right side
    292,187.66x = 35,871,195,410.02
  5. Step 5: Solve for x
    x = 35,871,195,410.02/292,187.66
  6. Step 6: Final answer
    x = 122,767.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.