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Finding the Fourth Proportional to 435,957.84, 653,699.64 and 136,309.20

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Solution

The fourth proportional to 435,957.84, 653,699.64 and 136,309.20 is: 204,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,957.84 : 653,699.64 = 136,309.20 : x
  2. Step 2: Convert to fraction form
    435,957.84/653,699.64 = 136,309.20/x
  3. Step 3: Cross multiply
    435,957.84x = 653,699.64 × 136,309.20
  4. Step 4: Simplify right side
    435,957.84x = 89,105,274,968.69
  5. Step 5: Solve for x
    x = 89,105,274,968.69/435,957.84
  6. Step 6: Final answer
    x = 204,389.66

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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.