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Finding the Fourth Proportional to 165,833, 228,855.72 and 94,225.15

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Solution

The fourth proportional to 165,833, 228,855.72 and 94,225.15 is: 130,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,833 : 228,855.72 = 94,225.15 : x
  2. Step 2: Convert to fraction form
    165,833/228,855.72 = 94,225.15/x
  3. Step 3: Cross multiply
    165,833x = 228,855.72 × 94,225.15
  4. Step 4: Simplify right side
    165,833x = 21,563,964,545.36
  5. Step 5: Solve for x
    x = 21,563,964,545.36/165,833
  6. Step 6: Final answer
    x = 130,034.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.