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Finding the Fourth Proportional to 106,669.60, 160,004.40 and 105,114.40

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Solution

The fourth proportional to 106,669.60, 160,004.40 and 105,114.40 is: 157,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,669.60 : 160,004.40 = 105,114.40 : x
  2. Step 2: Convert to fraction form
    106,669.60/160,004.40 = 105,114.40/x
  3. Step 3: Cross multiply
    106,669.60x = 160,004.40 × 105,114.40
  4. Step 4: Simplify right side
    106,669.60x = 16,818,766,503.36
  5. Step 5: Solve for x
    x = 16,818,766,503.36/106,669.60
  6. Step 6: Final answer
    x = 157,671.60

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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.