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Finding the Fourth Proportional to 178,164.33, 245,866.80 and 97,594.74

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Solution

The fourth proportional to 178,164.33, 245,866.80 and 97,594.74 is: 134,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,164.33 : 245,866.80 = 97,594.74 : x
  2. Step 2: Convert to fraction form
    178,164.33/245,866.80 = 97,594.74/x
  3. Step 3: Cross multiply
    178,164.33x = 245,866.80 × 97,594.74
  4. Step 4: Simplify right side
    178,164.33x = 23,995,306,420.63
  5. Step 5: Solve for x
    x = 23,995,306,420.63/178,164.33
  6. Step 6: Final answer
    x = 134,680.75

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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.