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Finding the Fourth Proportional to 176,651.60, 264,886.20 and 51,976.40

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Solution

The fourth proportional to 176,651.60, 264,886.20 and 51,976.40 is: 77,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,651.60 : 264,886.20 = 51,976.40 : x
  2. Step 2: Convert to fraction form
    176,651.60/264,886.20 = 51,976.40/x
  3. Step 3: Cross multiply
    176,651.60x = 264,886.20 × 51,976.40
  4. Step 4: Simplify right side
    176,651.60x = 13,767,831,085.68
  5. Step 5: Solve for x
    x = 13,767,831,085.68/176,651.60
  6. Step 6: Final answer
    x = 77,937.77

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Why These Related Problems?

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