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Finding the Fourth Proportional to 377,045.21, 565,837.65 and 137,158.65

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Solution

The fourth proportional to 377,045.21, 565,837.65 and 137,158.65 is: 205,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,045.21 : 565,837.65 = 137,158.65 : x
  2. Step 2: Convert to fraction form
    377,045.21/565,837.65 = 137,158.65/x
  3. Step 3: Cross multiply
    377,045.21x = 565,837.65 × 137,158.65
  4. Step 4: Simplify right side
    377,045.21x = 77,609,528,193.17
  5. Step 5: Solve for x
    x = 77,609,528,193.17/377,045.21
  6. Step 6: Final answer
    x = 205,836.13

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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.