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Finding the Fourth Proportional to 102,005.40, 152,902.80 and 45,872.40

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Solution

The fourth proportional to 102,005.40, 152,902.80 and 45,872.40 is: 68,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,005.40 : 152,902.80 = 45,872.40 : x
  2. Step 2: Convert to fraction form
    102,005.40/152,902.80 = 45,872.40/x
  3. Step 3: Cross multiply
    102,005.40x = 152,902.80 × 45,872.40
  4. Step 4: Simplify right side
    102,005.40x = 7,014,018,402.72
  5. Step 5: Solve for x
    x = 7,014,018,402.72/102,005.40
  6. Step 6: Final answer
    x = 68,761.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.