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Finding the Fourth Proportional to 176,964, 244,263.69 and 120,408.18

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Solution

The fourth proportional to 176,964, 244,263.69 and 120,408.18 is: 166,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,964 : 244,263.69 = 120,408.18 : x
  2. Step 2: Convert to fraction form
    176,964/244,263.69 = 120,408.18/x
  3. Step 3: Cross multiply
    176,964x = 244,263.69 × 120,408.18
  4. Step 4: Simplify right side
    176,964x = 29,411,346,352.98
  5. Step 5: Solve for x
    x = 29,411,346,352.98/176,964
  6. Step 6: Final answer
    x = 166,199.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.