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Finding the Fourth Proportional to 147,893.36, 221,796.24 and 42,713.24

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Solution

The fourth proportional to 147,893.36, 221,796.24 and 42,713.24 is: 64,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,893.36 : 221,796.24 = 42,713.24 : x
  2. Step 2: Convert to fraction form
    147,893.36/221,796.24 = 42,713.24/x
  3. Step 3: Cross multiply
    147,893.36x = 221,796.24 × 42,713.24
  4. Step 4: Simplify right side
    147,893.36x = 9,473,636,030.22
  5. Step 5: Solve for x
    x = 9,473,636,030.22/147,893.36
  6. Step 6: Final answer
    x = 64,057.21

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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.