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Finding the Fourth Proportional to 178,154.98, 245,857.41 and 97,582.52

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Solution

The fourth proportional to 178,154.98, 245,857.41 and 97,582.52 is: 134,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,154.98 : 245,857.41 = 97,582.52 : x
  2. Step 2: Convert to fraction form
    178,154.98/245,857.41 = 97,582.52/x
  3. Step 3: Cross multiply
    178,154.98x = 245,857.41 × 97,582.52
  4. Step 4: Simplify right side
    178,154.98x = 23,991,386,243.12
  5. Step 5: Solve for x
    x = 23,991,386,243.12/178,154.98
  6. Step 6: Final answer
    x = 134,665.82

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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.