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Finding the Fourth Proportional to 210,146.38, 289,799.70 and 141,390.74

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Solution

The fourth proportional to 210,146.38, 289,799.70 and 141,390.74 is: 194,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,146.38 : 289,799.70 = 141,390.74 : x
  2. Step 2: Convert to fraction form
    210,146.38/289,799.70 = 141,390.74/x
  3. Step 3: Cross multiply
    210,146.38x = 289,799.70 × 141,390.74
  4. Step 4: Simplify right side
    210,146.38x = 40,974,994,034.78
  5. Step 5: Solve for x
    x = 40,974,994,034.78/210,146.38
  6. Step 6: Final answer
    x = 194,983.11

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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.