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Finding the Fourth Proportional to 281,106.16, 421,715.67 and 103,614.10

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Solution

The fourth proportional to 281,106.16, 421,715.67 and 103,614.10 is: 155,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,106.16 : 421,715.67 = 103,614.10 : x
  2. Step 2: Convert to fraction form
    281,106.16/421,715.67 = 103,614.10/x
  3. Step 3: Cross multiply
    281,106.16x = 421,715.67 × 103,614.10
  4. Step 4: Simplify right side
    281,106.16x = 43,695,689,602.95
  5. Step 5: Solve for x
    x = 43,695,689,602.95/281,106.16
  6. Step 6: Final answer
    x = 155,441.95

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Why These Related Problems?

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