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Finding the Fourth Proportional to 267,713.10, 369,437.14 and 152,984.45

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Solution

The fourth proportional to 267,713.10, 369,437.14 and 152,984.45 is: 211,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,713.10 : 369,437.14 = 152,984.45 : x
  2. Step 2: Convert to fraction form
    267,713.10/369,437.14 = 152,984.45/x
  3. Step 3: Cross multiply
    267,713.10x = 369,437.14 × 152,984.45
  4. Step 4: Simplify right side
    267,713.10x = 56,518,135,825.29
  5. Step 5: Solve for x
    x = 56,518,135,825.29/267,713.10
  6. Step 6: Final answer
    x = 211,114.57

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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.