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Finding the Fourth Proportional to 178,052.93, 245,713.10 and 97,485.57

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Solution

The fourth proportional to 178,052.93, 245,713.10 and 97,485.57 is: 134,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,052.93 : 245,713.10 = 97,485.57 : x
  2. Step 2: Convert to fraction form
    178,052.93/245,713.10 = 97,485.57/x
  3. Step 3: Cross multiply
    178,052.93x = 245,713.10 × 97,485.57
  4. Step 4: Simplify right side
    178,052.93x = 23,953,481,609.97
  5. Step 5: Solve for x
    x = 23,953,481,609.97/178,052.93
  6. Step 6: Final answer
    x = 134,530.12

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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.