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Finding the Fourth Proportional to 176,977.12, 264,841.80 and 110,448.40

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Solution

The fourth proportional to 176,977.12, 264,841.80 and 110,448.40 is: 165,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,977.12 : 264,841.80 = 110,448.40 : x
  2. Step 2: Convert to fraction form
    176,977.12/264,841.80 = 110,448.40/x
  3. Step 3: Cross multiply
    176,977.12x = 264,841.80 × 110,448.40
  4. Step 4: Simplify right side
    176,977.12x = 29,251,353,063.12
  5. Step 5: Solve for x
    x = 29,251,353,063.12/176,977.12
  6. Step 6: Final answer
    x = 165,283.25

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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.