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Finding the Fourth Proportional to 119,014.15, 164,242.19 and 65,299

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Solution

The fourth proportional to 119,014.15, 164,242.19 and 65,299 is: 90,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,014.15 : 164,242.19 = 65,299 : x
  2. Step 2: Convert to fraction form
    119,014.15/164,242.19 = 65,299/x
  3. Step 3: Cross multiply
    119,014.15x = 164,242.19 × 65,299
  4. Step 4: Simplify right side
    119,014.15x = 10,724,850,764.81
  5. Step 5: Solve for x
    x = 10,724,850,764.81/119,014.15
  6. Step 6: Final answer
    x = 90,114.08

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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.