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Finding the Fourth Proportional to 242,293.32, 362,551.21 and 202,213.31

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Solution

The fourth proportional to 242,293.32, 362,551.21 and 202,213.31 is: 302,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,293.32 : 362,551.21 = 202,213.31 : x
  2. Step 2: Convert to fraction form
    242,293.32/362,551.21 = 202,213.31/x
  3. Step 3: Cross multiply
    242,293.32x = 362,551.21 × 202,213.31
  4. Step 4: Simplify right side
    242,293.32x = 73,312,677,900.32
  5. Step 5: Solve for x
    x = 73,312,677,900.32/242,293.32
  6. Step 6: Final answer
    x = 302,578.21

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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.