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Finding the Fourth Proportional to 176,293.80, 264,554.10 and 97,464.60

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Solution

The fourth proportional to 176,293.80, 264,554.10 and 97,464.60 is: 146,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,293.80 : 264,554.10 = 97,464.60 : x
  2. Step 2: Convert to fraction form
    176,293.80/264,554.10 = 97,464.60/x
  3. Step 3: Cross multiply
    176,293.80x = 264,554.10 × 97,464.60
  4. Step 4: Simplify right side
    176,293.80x = 25,784,659,534.86
  5. Step 5: Solve for x
    x = 25,784,659,534.86/176,293.80
  6. Step 6: Final answer
    x = 146,259.59

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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.