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Finding the Fourth Proportional to 208,035.40, 312,053.10 and 183,929.80

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Solution

The fourth proportional to 208,035.40, 312,053.10 and 183,929.80 is: 275,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,035.40 : 312,053.10 = 183,929.80 : x
  2. Step 2: Convert to fraction form
    208,035.40/312,053.10 = 183,929.80/x
  3. Step 3: Cross multiply
    208,035.40x = 312,053.10 × 183,929.80
  4. Step 4: Simplify right side
    208,035.40x = 57,395,864,272.38
  5. Step 5: Solve for x
    x = 57,395,864,272.38/208,035.40
  6. Step 6: Final answer
    x = 275,894.70

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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.