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Finding the Fourth Proportional to 183,488, 275,278.24 and 52,160

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Solution

The fourth proportional to 183,488, 275,278.24 and 52,160 is: 78,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,488 : 275,278.24 = 52,160 : x
  2. Step 2: Convert to fraction form
    183,488/275,278.24 = 52,160/x
  3. Step 3: Cross multiply
    183,488x = 275,278.24 × 52,160
  4. Step 4: Simplify right side
    183,488x = 14,358,512,998.40
  5. Step 5: Solve for x
    x = 14,358,512,998.40/183,488
  6. Step 6: Final answer
    x = 78,253.14

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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.