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Finding the Fourth Proportional to 102,660.16, 154,000 and 40,316.16

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Solution

The fourth proportional to 102,660.16, 154,000 and 40,316.16 is: 60,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,660.16 : 154,000 = 40,316.16 : x
  2. Step 2: Convert to fraction form
    102,660.16/154,000 = 40,316.16/x
  3. Step 3: Cross multiply
    102,660.16x = 154,000 × 40,316.16
  4. Step 4: Simplify right side
    102,660.16x = 6,208,688,640.00
  5. Step 5: Solve for x
    x = 6,208,688,640.00/102,660.16
  6. Step 6: Final answer
    x = 60,478.07

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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.