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Finding the Fourth Proportional to 176,137.70, 264,206.55 and 57,812.90

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Solution

The fourth proportional to 176,137.70, 264,206.55 and 57,812.90 is: 86,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,137.70 : 264,206.55 = 57,812.90 : x
  2. Step 2: Convert to fraction form
    176,137.70/264,206.55 = 57,812.90/x
  3. Step 3: Cross multiply
    176,137.70x = 264,206.55 × 57,812.90
  4. Step 4: Simplify right side
    176,137.70x = 15,274,546,854.50
  5. Step 5: Solve for x
    x = 15,274,546,854.50/176,137.70
  6. Step 6: Final answer
    x = 86,719.35

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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.