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Finding the Fourth Proportional to 154,006, 231,101.16 and 66,454

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Solution

The fourth proportional to 154,006, 231,101.16 and 66,454 is: 99,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,006 : 231,101.16 = 66,454 : x
  2. Step 2: Convert to fraction form
    154,006/231,101.16 = 66,454/x
  3. Step 3: Cross multiply
    154,006x = 231,101.16 × 66,454
  4. Step 4: Simplify right side
    154,006x = 15,357,596,486.64
  5. Step 5: Solve for x
    x = 15,357,596,486.64/154,006
  6. Step 6: Final answer
    x = 99,720.77

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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.