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Finding the Fourth Proportional to 267,409.68, 368,996.46 and 152,677.50

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Solution

The fourth proportional to 267,409.68, 368,996.46 and 152,677.50 is: 210,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,409.68 : 368,996.46 = 152,677.50 : x
  2. Step 2: Convert to fraction form
    267,409.68/368,996.46 = 152,677.50/x
  3. Step 3: Cross multiply
    267,409.68x = 368,996.46 × 152,677.50
  4. Step 4: Simplify right side
    267,409.68x = 56,337,457,021.65
  5. Step 5: Solve for x
    x = 56,337,457,021.65/267,409.68
  6. Step 6: Final answer
    x = 210,678.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.