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Finding the Fourth Proportional to 175,668, 242,421.72 and 95,096.16

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Solution

The fourth proportional to 175,668, 242,421.72 and 95,096.16 is: 131,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,668 : 242,421.72 = 95,096.16 : x
  2. Step 2: Convert to fraction form
    175,668/242,421.72 = 95,096.16/x
  3. Step 3: Cross multiply
    175,668x = 242,421.72 × 95,096.16
  4. Step 4: Simplify right side
    175,668x = 23,053,374,672.60
  5. Step 5: Solve for x
    x = 23,053,374,672.60/175,668
  6. Step 6: Final answer
    x = 131,232.64

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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.