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Finding the Fourth Proportional to 164,565.40, 246,848.10 and 146,194.60

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Solution

The fourth proportional to 164,565.40, 246,848.10 and 146,194.60 is: 219,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,565.40 : 246,848.10 = 146,194.60 : x
  2. Step 2: Convert to fraction form
    164,565.40/246,848.10 = 146,194.60/x
  3. Step 3: Cross multiply
    164,565.40x = 246,848.10 × 146,194.60
  4. Step 4: Simplify right side
    164,565.40x = 36,087,859,240.26
  5. Step 5: Solve for x
    x = 36,087,859,240.26/164,565.40
  6. Step 6: Final answer
    x = 219,291.90

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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.