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Finding the Fourth Proportional to 118,033.20, 176,617.80 and 86,929.20

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Solution

The fourth proportional to 118,033.20, 176,617.80 and 86,929.20 is: 130,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,033.20 : 176,617.80 = 86,929.20 : x
  2. Step 2: Convert to fraction form
    118,033.20/176,617.80 = 86,929.20/x
  3. Step 3: Cross multiply
    118,033.20x = 176,617.80 × 86,929.20
  4. Step 4: Simplify right side
    118,033.20x = 15,353,244,059.76
  5. Step 5: Solve for x
    x = 15,353,244,059.76/118,033.20
  6. Step 6: Final answer
    x = 130,075.64

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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.