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Finding the Fourth Proportional to 154,416.10, 231,624.15 and 144,048.10

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Solution

The fourth proportional to 154,416.10, 231,624.15 and 144,048.10 is: 216,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,416.10 : 231,624.15 = 144,048.10 : x
  2. Step 2: Convert to fraction form
    154,416.10/231,624.15 = 144,048.10/x
  3. Step 3: Cross multiply
    154,416.10x = 231,624.15 × 144,048.10
  4. Step 4: Simplify right side
    154,416.10x = 33,365,018,721.62
  5. Step 5: Solve for x
    x = 33,365,018,721.62/154,416.10
  6. Step 6: Final answer
    x = 216,072.15

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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.