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Finding the Fourth Proportional to 231,312.96, 319,358.88 and 177,495.84

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Solution

The fourth proportional to 231,312.96, 319,358.88 and 177,495.84 is: 245,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,312.96 : 319,358.88 = 177,495.84 : x
  2. Step 2: Convert to fraction form
    231,312.96/319,358.88 = 177,495.84/x
  3. Step 3: Cross multiply
    231,312.96x = 319,358.88 × 177,495.84
  4. Step 4: Simplify right side
    231,312.96x = 56,684,872,667.06
  5. Step 5: Solve for x
    x = 56,684,872,667.06/231,312.96
  6. Step 6: Final answer
    x = 245,057.05

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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.