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Finding the Fourth Proportional to 177,584.78, 245,083.86 and 97,024.40

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Solution

The fourth proportional to 177,584.78, 245,083.86 and 97,024.40 is: 133,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,584.78 : 245,083.86 = 97,024.40 : x
  2. Step 2: Convert to fraction form
    177,584.78/245,083.86 = 97,024.40/x
  3. Step 3: Cross multiply
    177,584.78x = 245,083.86 × 97,024.40
  4. Step 4: Simplify right side
    177,584.78x = 23,779,114,466.18
  5. Step 5: Solve for x
    x = 23,779,114,466.18/177,584.78
  6. Step 6: Final answer
    x = 133,902.89

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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.