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Finding the Fourth Proportional to 176,651.12, 243,774.96 and 96,077

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Solution

The fourth proportional to 176,651.12, 243,774.96 and 96,077 is: 132,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,651.12 : 243,774.96 = 96,077 : x
  2. Step 2: Convert to fraction form
    176,651.12/243,774.96 = 96,077/x
  3. Step 3: Cross multiply
    176,651.12x = 243,774.96 × 96,077
  4. Step 4: Simplify right side
    176,651.12x = 23,421,166,831.92
  5. Step 5: Solve for x
    x = 23,421,166,831.92/176,651.12
  6. Step 6: Final answer
    x = 132,584.31

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1.5x scale

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.