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Finding the Fourth Proportional to 275,913.40, 413,870.10 and 109,701.40

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Solution

The fourth proportional to 275,913.40, 413,870.10 and 109,701.40 is: 164,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,913.40 : 413,870.10 = 109,701.40 : x
  2. Step 2: Convert to fraction form
    275,913.40/413,870.10 = 109,701.40/x
  3. Step 3: Cross multiply
    275,913.40x = 413,870.10 × 109,701.40
  4. Step 4: Simplify right side
    275,913.40x = 45,402,129,388.14
  5. Step 5: Solve for x
    x = 45,402,129,388.14/275,913.40
  6. Step 6: Final answer
    x = 164,552.10

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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.