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Finding the Fourth Proportional to 207,535.10, 311,302.65 and 102,340.40

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Solution

The fourth proportional to 207,535.10, 311,302.65 and 102,340.40 is: 153,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,535.10 : 311,302.65 = 102,340.40 : x
  2. Step 2: Convert to fraction form
    207,535.10/311,302.65 = 102,340.40/x
  3. Step 3: Cross multiply
    207,535.10x = 311,302.65 × 102,340.40
  4. Step 4: Simplify right side
    207,535.10x = 31,858,837,722.06
  5. Step 5: Solve for x
    x = 31,858,837,722.06/207,535.10
  6. Step 6: Final answer
    x = 153,510.60

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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.