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Finding the Fourth Proportional to 193,482.49, 266,996.85 and 107,446.93

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Solution

The fourth proportional to 193,482.49, 266,996.85 and 107,446.93 is: 148,271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,482.49 : 266,996.85 = 107,446.93 : x
  2. Step 2: Convert to fraction form
    193,482.49/266,996.85 = 107,446.93/x
  3. Step 3: Cross multiply
    193,482.49x = 266,996.85 × 107,446.93
  4. Step 4: Simplify right side
    193,482.49x = 28,687,991,184.68
  5. Step 5: Solve for x
    x = 28,687,991,184.68/193,482.49
  6. Step 6: Final answer
    x = 148,271.77

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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.