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Finding the Fourth Proportional to 242,839.40, 334,973.58 and 189,039.20

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Solution

The fourth proportional to 242,839.40, 334,973.58 and 189,039.20 is: 260,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,839.40 : 334,973.58 = 189,039.20 : x
  2. Step 2: Convert to fraction form
    242,839.40/334,973.58 = 189,039.20/x
  3. Step 3: Cross multiply
    242,839.40x = 334,973.58 × 189,039.20
  4. Step 4: Simplify right side
    242,839.40x = 63,323,137,584.34
  5. Step 5: Solve for x
    x = 63,323,137,584.34/242,839.40
  6. Step 6: Final answer
    x = 260,761.38

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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.