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Finding the Fourth Proportional to 178,164.80, 245,857.92 and 97,588.16

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Solution

The fourth proportional to 178,164.80, 245,857.92 and 97,588.16 is: 134,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,164.80 : 245,857.92 = 97,588.16 : x
  2. Step 2: Convert to fraction form
    178,164.80/245,857.92 = 97,588.16/x
  3. Step 3: Cross multiply
    178,164.80x = 245,857.92 × 97,588.16
  4. Step 4: Simplify right side
    178,164.80x = 23,992,822,034.23
  5. Step 5: Solve for x
    x = 23,992,822,034.23/178,164.80
  6. Step 6: Final answer
    x = 134,666.46

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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.