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Finding the Fourth Proportional to 176,361.53, 264,465.74 and 64,004.40

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Solution

The fourth proportional to 176,361.53, 264,465.74 and 64,004.40 is: 95,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,361.53 : 264,465.74 = 64,004.40 : x
  2. Step 2: Convert to fraction form
    176,361.53/264,465.74 = 64,004.40/x
  3. Step 3: Cross multiply
    176,361.53x = 264,465.74 × 64,004.40
  4. Step 4: Simplify right side
    176,361.53x = 16,926,971,169.27
  5. Step 5: Solve for x
    x = 16,926,971,169.27/176,361.53
  6. Step 6: Final answer
    x = 95,978.82

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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.