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Finding the Fourth Proportional to 176,594.16, 243,694.62 and 96,021.84

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Solution

The fourth proportional to 176,594.16, 243,694.62 and 96,021.84 is: 132,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,594.16 : 243,694.62 = 96,021.84 : x
  2. Step 2: Convert to fraction form
    176,594.16/243,694.62 = 96,021.84/x
  3. Step 3: Cross multiply
    176,594.16x = 243,694.62 × 96,021.84
  4. Step 4: Simplify right side
    176,594.16x = 23,400,005,810.50
  5. Step 5: Solve for x
    x = 23,400,005,810.50/176,594.16
  6. Step 6: Final answer
    x = 132,507.25

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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.