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Finding the Fourth Proportional to 141,084.34, 194,702.01 and 77,424.42

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Solution

The fourth proportional to 141,084.34, 194,702.01 and 77,424.42 is: 106,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,084.34 : 194,702.01 = 77,424.42 : x
  2. Step 2: Convert to fraction form
    141,084.34/194,702.01 = 77,424.42/x
  3. Step 3: Cross multiply
    141,084.34x = 194,702.01 × 77,424.42
  4. Step 4: Simplify right side
    141,084.34x = 15,074,688,836.45
  5. Step 5: Solve for x
    x = 15,074,688,836.45/141,084.34
  6. Step 6: Final answer
    x = 106,848.77

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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.