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Finding the Fourth Proportional to 364,057.25, 546,048.86 and 97,783.11

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Solution

The fourth proportional to 364,057.25, 546,048.86 and 97,783.11 is: 146,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,057.25 : 546,048.86 = 97,783.11 : x
  2. Step 2: Convert to fraction form
    364,057.25/546,048.86 = 97,783.11/x
  3. Step 3: Cross multiply
    364,057.25x = 546,048.86 × 97,783.11
  4. Step 4: Simplify right side
    364,057.25x = 53,394,355,253.84
  5. Step 5: Solve for x
    x = 53,394,355,253.84/364,057.25
  6. Step 6: Final answer
    x = 146,664.72

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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.