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Finding the Fourth Proportional to 177,897.30, 245,496.30 and 97,323.87

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Solution

The fourth proportional to 177,897.30, 245,496.30 and 97,323.87 is: 134,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,897.30 : 245,496.30 = 97,323.87 : x
  2. Step 2: Convert to fraction form
    177,897.30/245,496.30 = 97,323.87/x
  3. Step 3: Cross multiply
    177,897.30x = 245,496.30 × 97,323.87
  4. Step 4: Simplify right side
    177,897.30x = 23,892,649,986.68
  5. Step 5: Solve for x
    x = 23,892,649,986.68/177,897.30
  6. Step 6: Final answer
    x = 134,305.86

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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.