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Finding the Fourth Proportional to 176,714.60, 264,981.10 and 52,039.40

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Solution

The fourth proportional to 176,714.60, 264,981.10 and 52,039.40 is: 78,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,714.60 : 264,981.10 = 52,039.40 : x
  2. Step 2: Convert to fraction form
    176,714.60/264,981.10 = 52,039.40/x
  3. Step 3: Cross multiply
    176,714.60x = 264,981.10 × 52,039.40
  4. Step 4: Simplify right side
    176,714.60x = 13,789,457,455.34
  5. Step 5: Solve for x
    x = 13,789,457,455.34/176,714.60
  6. Step 6: Final answer
    x = 78,032.36

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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.