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Finding the Fourth Proportional to 176,474.90, 264,323.55 and 156,775.70

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Solution

The fourth proportional to 176,474.90, 264,323.55 and 156,775.70 is: 234,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,474.90 : 264,323.55 = 156,775.70 : x
  2. Step 2: Convert to fraction form
    176,474.90/264,323.55 = 156,775.70/x
  3. Step 3: Cross multiply
    176,474.90x = 264,323.55 × 156,775.70
  4. Step 4: Simplify right side
    176,474.90x = 41,439,509,577.74
  5. Step 5: Solve for x
    x = 41,439,509,577.74/176,474.90
  6. Step 6: Final answer
    x = 234,818.15

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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.