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Finding the Fourth Proportional to 164,966.40, 246,866.40 and 112,478.40

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Solution

The fourth proportional to 164,966.40, 246,866.40 and 112,478.40 is: 168,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,966.40 : 246,866.40 = 112,478.40 : x
  2. Step 2: Convert to fraction form
    164,966.40/246,866.40 = 112,478.40/x
  3. Step 3: Cross multiply
    164,966.40x = 246,866.40 × 112,478.40
  4. Step 4: Simplify right side
    164,966.40x = 27,767,137,685.76
  5. Step 5: Solve for x
    x = 27,767,137,685.76/164,966.40
  6. Step 6: Final answer
    x = 168,319.96

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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.