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Finding the Fourth Proportional to 176,655.80, 264,638.10 and 106,326.20

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Solution

The fourth proportional to 176,655.80, 264,638.10 and 106,326.20 is: 159,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,655.80 : 264,638.10 = 106,326.20 : x
  2. Step 2: Convert to fraction form
    176,655.80/264,638.10 = 106,326.20/x
  3. Step 3: Cross multiply
    176,655.80x = 264,638.10 × 106,326.20
  4. Step 4: Simplify right side
    176,655.80x = 28,137,963,548.22
  5. Step 5: Solve for x
    x = 28,137,963,548.22/176,655.80
  6. Step 6: Final answer
    x = 159,281.29

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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.