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Finding the Fourth Proportional to 164,017.10, 246,046.49 and 64,164.49

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Solution

The fourth proportional to 164,017.10, 246,046.49 and 64,164.49 is: 96,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,017.10 : 246,046.49 = 64,164.49 : x
  2. Step 2: Convert to fraction form
    164,017.10/246,046.49 = 64,164.49/x
  3. Step 3: Cross multiply
    164,017.10x = 246,046.49 × 64,164.49
  4. Step 4: Simplify right side
    164,017.10x = 15,787,447,547.14
  5. Step 5: Solve for x
    x = 15,787,447,547.14/164,017.10
  6. Step 6: Final answer
    x = 96,254.89

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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.