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Finding the Fourth Proportional to 186,829.40, 280,291.03 and 53,709.90

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Solution

The fourth proportional to 186,829.40, 280,291.03 and 53,709.90 is: 80,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,829.40 : 280,291.03 = 53,709.90 : x
  2. Step 2: Convert to fraction form
    186,829.40/280,291.03 = 53,709.90/x
  3. Step 3: Cross multiply
    186,829.40x = 280,291.03 × 53,709.90
  4. Step 4: Simplify right side
    186,829.40x = 15,054,403,192.20
  5. Step 5: Solve for x
    x = 15,054,403,192.20/186,829.40
  6. Step 6: Final answer
    x = 80,578.34

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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.