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Finding the Fourth Proportional to 176,830.80, 265,246.20 and 141,838.80

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Solution

The fourth proportional to 176,830.80, 265,246.20 and 141,838.80 is: 212,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,830.80 : 265,246.20 = 141,838.80 : x
  2. Step 2: Convert to fraction form
    176,830.80/265,246.20 = 141,838.80/x
  3. Step 3: Cross multiply
    176,830.80x = 265,246.20 × 141,838.80
  4. Step 4: Simplify right side
    176,830.80x = 37,622,202,712.56
  5. Step 5: Solve for x
    x = 37,622,202,712.56/176,830.80
  6. Step 6: Final answer
    x = 212,758.20

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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.