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Finding the Fourth Proportional to 253,154.19, 379,918.14 and 120,034.92

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Solution

The fourth proportional to 253,154.19, 379,918.14 and 120,034.92 is: 180,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,154.19 : 379,918.14 = 120,034.92 : x
  2. Step 2: Convert to fraction form
    253,154.19/379,918.14 = 120,034.92/x
  3. Step 3: Cross multiply
    253,154.19x = 379,918.14 × 120,034.92
  4. Step 4: Simplify right side
    253,154.19x = 45,603,443,541.45
  5. Step 5: Solve for x
    x = 45,603,443,541.45/253,154.19
  6. Step 6: Final answer
    x = 180,140.98

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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.