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Finding the Fourth Proportional to 137,554.80, 206,798.76 and 109,829.04

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Solution

The fourth proportional to 137,554.80, 206,798.76 and 109,829.04 is: 165,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,554.80 : 206,798.76 = 109,829.04 : x
  2. Step 2: Convert to fraction form
    137,554.80/206,798.76 = 109,829.04/x
  3. Step 3: Cross multiply
    137,554.80x = 206,798.76 × 109,829.04
  4. Step 4: Simplify right side
    137,554.80x = 22,712,509,283.99
  5. Step 5: Solve for x
    x = 22,712,509,283.99/137,554.80
  6. Step 6: Final answer
    x = 165,116.08

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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.