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Finding the Fourth Proportional to 176,303.20, 264,454.80 and 106,319.20

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Solution

The fourth proportional to 176,303.20, 264,454.80 and 106,319.20 is: 159,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,303.20 : 264,454.80 = 106,319.20 : x
  2. Step 2: Convert to fraction form
    176,303.20/264,454.80 = 106,319.20/x
  3. Step 3: Cross multiply
    176,303.20x = 264,454.80 × 106,319.20
  4. Step 4: Simplify right side
    176,303.20x = 28,116,622,772.16
  5. Step 5: Solve for x
    x = 28,116,622,772.16/176,303.20
  6. Step 6: Final answer
    x = 159,478.80

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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.