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Finding the Fourth Proportional to 164,966.40, 247,425.30 and 46,649.70

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Solution

The fourth proportional to 164,966.40, 247,425.30 and 46,649.70 is: 69,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,966.40 : 247,425.30 = 46,649.70 : x
  2. Step 2: Convert to fraction form
    164,966.40/247,425.30 = 46,649.70/x
  3. Step 3: Cross multiply
    164,966.40x = 247,425.30 × 46,649.70
  4. Step 4: Simplify right side
    164,966.40x = 11,542,316,017.41
  5. Step 5: Solve for x
    x = 11,542,316,017.41/164,966.40
  6. Step 6: Final answer
    x = 69,967.68

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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.