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Finding the Fourth Proportional to 176,815.20, 264,931.20 and 151,737.60

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Solution

The fourth proportional to 176,815.20, 264,931.20 and 151,737.60 is: 227,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,815.20 : 264,931.20 = 151,737.60 : x
  2. Step 2: Convert to fraction form
    176,815.20/264,931.20 = 151,737.60/x
  3. Step 3: Cross multiply
    176,815.20x = 264,931.20 × 151,737.60
  4. Step 4: Simplify right side
    176,815.20x = 40,200,024,453.12
  5. Step 5: Solve for x
    x = 40,200,024,453.12/176,815.20
  6. Step 6: Final answer
    x = 227,356.16

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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.