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Finding the Fourth Proportional to 280,646.84, 420,676.22 and 130,763.52

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Solution

The fourth proportional to 280,646.84, 420,676.22 and 130,763.52 is: 196,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,646.84 : 420,676.22 = 130,763.52 : x
  2. Step 2: Convert to fraction form
    280,646.84/420,676.22 = 130,763.52/x
  3. Step 3: Cross multiply
    280,646.84x = 420,676.22 × 130,763.52
  4. Step 4: Simplify right side
    280,646.84x = 55,009,103,307.49
  5. Step 5: Solve for x
    x = 55,009,103,307.49/280,646.84
  6. Step 6: Final answer
    x = 196,008.28

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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.