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Finding the Fourth Proportional to 178,168.52, 245,862.06 and 97,580

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Solution

The fourth proportional to 178,168.52, 245,862.06 and 97,580 is: 134,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,168.52 : 245,862.06 = 97,580 : x
  2. Step 2: Convert to fraction form
    178,168.52/245,862.06 = 97,580/x
  3. Step 3: Cross multiply
    178,168.52x = 245,862.06 × 97,580
  4. Step 4: Simplify right side
    178,168.52x = 23,991,219,814.80
  5. Step 5: Solve for x
    x = 23,991,219,814.80/178,168.52
  6. Step 6: Final answer
    x = 134,654.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.