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Finding the Fourth Proportional to 288,802.80, 433,204.20 and 122,569.20

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Solution

The fourth proportional to 288,802.80, 433,204.20 and 122,569.20 is: 183,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,802.80 : 433,204.20 = 122,569.20 : x
  2. Step 2: Convert to fraction form
    288,802.80/433,204.20 = 122,569.20/x
  3. Step 3: Cross multiply
    288,802.80x = 433,204.20 × 122,569.20
  4. Step 4: Simplify right side
    288,802.80x = 53,097,492,230.64
  5. Step 5: Solve for x
    x = 53,097,492,230.64/288,802.80
  6. Step 6: Final answer
    x = 183,853.80

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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.