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Finding the Fourth Proportional to 176,513.80, 264,165.90 and 106,443.40

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Solution

The fourth proportional to 176,513.80, 264,165.90 and 106,443.40 is: 159,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,513.80 : 264,165.90 = 106,443.40 : x
  2. Step 2: Convert to fraction form
    176,513.80/264,165.90 = 106,443.40/x
  3. Step 3: Cross multiply
    176,513.80x = 264,165.90 × 106,443.40
  4. Step 4: Simplify right side
    176,513.80x = 28,118,716,560.06
  5. Step 5: Solve for x
    x = 28,118,716,560.06/176,513.80
  6. Step 6: Final answer
    x = 159,300.39

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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.