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Finding the Fourth Proportional to 176,648.68, 243,776.96 and 96,078.07

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Solution

The fourth proportional to 176,648.68, 243,776.96 and 96,078.07 is: 132,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,648.68 : 243,776.96 = 96,078.07 : x
  2. Step 2: Convert to fraction form
    176,648.68/243,776.96 = 96,078.07/x
  3. Step 3: Cross multiply
    176,648.68x = 243,776.96 × 96,078.07
  4. Step 4: Simplify right side
    176,648.68x = 23,421,619,827.27
  5. Step 5: Solve for x
    x = 23,421,619,827.27/176,648.68
  6. Step 6: Final answer
    x = 132,588.71

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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.