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Finding the Fourth Proportional to 119,298.60, 164,486.34 and 87,454.44

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Solution

The fourth proportional to 119,298.60, 164,486.34 and 87,454.44 is: 120,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,298.60 : 164,486.34 = 87,454.44 : x
  2. Step 2: Convert to fraction form
    119,298.60/164,486.34 = 87,454.44/x
  3. Step 3: Cross multiply
    119,298.60x = 164,486.34 × 87,454.44
  4. Step 4: Simplify right side
    119,298.60x = 14,385,060,752.35
  5. Step 5: Solve for x
    x = 14,385,060,752.35/119,298.60
  6. Step 6: Final answer
    x = 120,580.30

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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.