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Finding the Fourth Proportional to 178,022.80, 245,693.28 and 106,402.24

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Solution

The fourth proportional to 178,022.80, 245,693.28 and 106,402.24 is: 146,848.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,022.80 : 245,693.28 = 106,402.24 : x
  2. Step 2: Convert to fraction form
    178,022.80/245,693.28 = 106,402.24/x
  3. Step 3: Cross multiply
    178,022.80x = 245,693.28 × 106,402.24
  4. Step 4: Simplify right side
    178,022.80x = 26,142,315,344.95
  5. Step 5: Solve for x
    x = 26,142,315,344.95/178,022.80
  6. Step 6: Final answer
    x = 146,848.13

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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.