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Finding the Fourth Proportional to 178,024.45, 245,674.05 and 97,452.02

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Solution

The fourth proportional to 178,024.45, 245,674.05 and 97,452.02 is: 134,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,024.45 : 245,674.05 = 97,452.02 : x
  2. Step 2: Convert to fraction form
    178,024.45/245,674.05 = 97,452.02/x
  3. Step 3: Cross multiply
    178,024.45x = 245,674.05 × 97,452.02
  4. Step 4: Simplify right side
    178,024.45x = 23,941,431,946.82
  5. Step 5: Solve for x
    x = 23,941,431,946.82/178,024.45
  6. Step 6: Final answer
    x = 134,483.96

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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.