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Finding the Fourth Proportional to 377,103.27, 565,506.68 and 137,160.21

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Solution

The fourth proportional to 377,103.27, 565,506.68 and 137,160.21 is: 205,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,103.27 : 565,506.68 = 137,160.21 : x
  2. Step 2: Convert to fraction form
    377,103.27/565,506.68 = 137,160.21/x
  3. Step 3: Cross multiply
    377,103.27x = 565,506.68 × 137,160.21
  4. Step 4: Simplify right side
    377,103.27x = 77,565,016,056.07
  5. Step 5: Solve for x
    x = 77,565,016,056.07/377,103.27
  6. Step 6: Final answer
    x = 205,686.40

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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.