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Finding the Fourth Proportional to 102,657.30, 143,370.30 and 102,657.30

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Solution

The fourth proportional to 102,657.30, 143,370.30 and 102,657.30 is: 143,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,657.30 : 143,370.30 = 102,657.30 : x
  2. Step 2: Convert to fraction form
    102,657.30/143,370.30 = 102,657.30/x
  3. Step 3: Cross multiply
    102,657.30x = 143,370.30 × 102,657.30
  4. Step 4: Simplify right side
    102,657.30x = 14,718,007,898.19
  5. Step 5: Solve for x
    x = 14,718,007,898.19/102,657.30
  6. Step 6: Final answer
    x = 143,370.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.