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Finding the Fourth Proportional to 377,146.16, 565,639.64 and 110,834.40

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Solution

The fourth proportional to 377,146.16, 565,639.64 and 110,834.40 is: 166,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,146.16 : 565,639.64 = 110,834.40 : x
  2. Step 2: Convert to fraction form
    377,146.16/565,639.64 = 110,834.40/x
  3. Step 3: Cross multiply
    377,146.16x = 565,639.64 × 110,834.40
  4. Step 4: Simplify right side
    377,146.16x = 62,692,330,115.62
  5. Step 5: Solve for x
    x = 62,692,330,115.62/377,146.16
  6. Step 6: Final answer
    x = 166,228.21

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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.