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Finding the Fourth Proportional to 165,903.40, 248,855.10 and 98,543.80

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Solution

The fourth proportional to 165,903.40, 248,855.10 and 98,543.80 is: 147,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,903.40 : 248,855.10 = 98,543.80 : x
  2. Step 2: Convert to fraction form
    165,903.40/248,855.10 = 98,543.80/x
  3. Step 3: Cross multiply
    165,903.40x = 248,855.10 × 98,543.80
  4. Step 4: Simplify right side
    165,903.40x = 24,523,127,203.38
  5. Step 5: Solve for x
    x = 24,523,127,203.38/165,903.40
  6. Step 6: Final answer
    x = 147,815.70

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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.