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Finding the Fourth Proportional to 104,384.99, 143,852.42 and 102,465.65

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Solution

The fourth proportional to 104,384.99, 143,852.42 and 102,465.65 is: 141,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,384.99 : 143,852.42 = 102,465.65 : x
  2. Step 2: Convert to fraction form
    104,384.99/143,852.42 = 102,465.65/x
  3. Step 3: Cross multiply
    104,384.99x = 143,852.42 × 102,465.65
  4. Step 4: Simplify right side
    104,384.99x = 14,739,931,207.04
  5. Step 5: Solve for x
    x = 14,739,931,207.04/104,384.99
  6. Step 6: Final answer
    x = 141,207.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.