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Finding the Fourth Proportional to 106,869.60, 160,223.40 and 54,316.80

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Solution

The fourth proportional to 106,869.60, 160,223.40 and 54,316.80 is: 81,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,869.60 : 160,223.40 = 54,316.80 : x
  2. Step 2: Convert to fraction form
    106,869.60/160,223.40 = 54,316.80/x
  3. Step 3: Cross multiply
    106,869.60x = 160,223.40 × 54,316.80
  4. Step 4: Simplify right side
    106,869.60x = 8,702,822,373.12
  5. Step 5: Solve for x
    x = 8,702,822,373.12/106,869.60
  6. Step 6: Final answer
    x = 81,434.03

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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.