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Finding the Fourth Proportional to 119,158.89, 164,440.40 and 65,445

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Solution

The fourth proportional to 119,158.89, 164,440.40 and 65,445 is: 90,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,158.89 : 164,440.40 = 65,445 : x
  2. Step 2: Convert to fraction form
    119,158.89/164,440.40 = 65,445/x
  3. Step 3: Cross multiply
    119,158.89x = 164,440.40 × 65,445
  4. Step 4: Simplify right side
    119,158.89x = 10,761,801,650.78
  5. Step 5: Solve for x
    x = 10,761,801,650.78/119,158.89
  6. Step 6: Final answer
    x = 90,314.72

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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.