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Finding the Fourth Proportional to 164,206.81, 245,830.14 and 148,447.96

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Solution

The fourth proportional to 164,206.81, 245,830.14 and 148,447.96 is: 222,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,206.81 : 245,830.14 = 148,447.96 : x
  2. Step 2: Convert to fraction form
    164,206.81/245,830.14 = 148,447.96/x
  3. Step 3: Cross multiply
    164,206.81x = 245,830.14 × 148,447.96
  4. Step 4: Simplify right side
    164,206.81x = 36,492,982,174.94
  5. Step 5: Solve for x
    x = 36,492,982,174.94/164,206.81
  6. Step 6: Final answer
    x = 222,237.93

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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.