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Finding the Fourth Proportional to 136,988.54, 205,482.30 and 37,148.48

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Solution

The fourth proportional to 136,988.54, 205,482.30 and 37,148.48 is: 55,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,988.54 : 205,482.30 = 37,148.48 : x
  2. Step 2: Convert to fraction form
    136,988.54/205,482.30 = 37,148.48/x
  3. Step 3: Cross multiply
    136,988.54x = 205,482.30 × 37,148.48
  4. Step 4: Simplify right side
    136,988.54x = 7,633,355,111.90
  5. Step 5: Solve for x
    x = 7,633,355,111.90/136,988.54
  6. Step 6: Final answer
    x = 55,722.58

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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.