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Finding the Fourth Proportional to 142,333.84, 213,763.20 and 112,940.56

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Solution

The fourth proportional to 142,333.84, 213,763.20 and 112,940.56 is: 169,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,333.84 : 213,763.20 = 112,940.56 : x
  2. Step 2: Convert to fraction form
    142,333.84/213,763.20 = 112,940.56/x
  3. Step 3: Cross multiply
    142,333.84x = 213,763.20 × 112,940.56
  4. Step 4: Simplify right side
    142,333.84x = 24,142,533,881.87
  5. Step 5: Solve for x
    x = 24,142,533,881.87/142,333.84
  6. Step 6: Final answer
    x = 169,619.08

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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.