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Finding the Fourth Proportional to 176,282.40, 264,574.80 and 71,176.80

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Solution

The fourth proportional to 176,282.40, 264,574.80 and 71,176.80 is: 106,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,282.40 : 264,574.80 = 71,176.80 : x
  2. Step 2: Convert to fraction form
    176,282.40/264,574.80 = 71,176.80/x
  3. Step 3: Cross multiply
    176,282.40x = 264,574.80 × 71,176.80
  4. Step 4: Simplify right side
    176,282.40x = 18,831,587,624.64
  5. Step 5: Solve for x
    x = 18,831,587,624.64/176,282.40
  6. Step 6: Final answer
    x = 106,826.25

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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.