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Finding the Fourth Proportional to 178,095, 245,771.10 and 102,648.36

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Solution

The fourth proportional to 178,095, 245,771.10 and 102,648.36 is: 141,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,095 : 245,771.10 = 102,648.36 : x
  2. Step 2: Convert to fraction form
    178,095/245,771.10 = 102,648.36/x
  3. Step 3: Cross multiply
    178,095x = 245,771.10 × 102,648.36
  4. Step 4: Simplify right side
    178,095x = 25,228,000,350.40
  5. Step 5: Solve for x
    x = 25,228,000,350.40/178,095
  6. Step 6: Final answer
    x = 141,654.74

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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.