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Finding the Fourth Proportional to 451,802.20, 677,703.30 and 114,842.20

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Solution

The fourth proportional to 451,802.20, 677,703.30 and 114,842.20 is: 172,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,802.20 : 677,703.30 = 114,842.20 : x
  2. Step 2: Convert to fraction form
    451,802.20/677,703.30 = 114,842.20/x
  3. Step 3: Cross multiply
    451,802.20x = 677,703.30 × 114,842.20
  4. Step 4: Simplify right side
    451,802.20x = 77,828,937,919.26
  5. Step 5: Solve for x
    x = 77,828,937,919.26/451,802.20
  6. Step 6: Final answer
    x = 172,263.30

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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.