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Finding the Fourth Proportional to 178,156, 245,848.08 and 106,575.58

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Solution

The fourth proportional to 178,156, 245,848.08 and 106,575.58 is: 147,069.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,156 : 245,848.08 = 106,575.58 : x
  2. Step 2: Convert to fraction form
    178,156/245,848.08 = 106,575.58/x
  3. Step 3: Cross multiply
    178,156x = 245,848.08 × 106,575.58
  4. Step 4: Simplify right side
    178,156x = 26,201,401,717.89
  5. Step 5: Solve for x
    x = 26,201,401,717.89/178,156
  6. Step 6: Final answer
    x = 147,069.99

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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.