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Finding the Fourth Proportional to 141,018.94, 194,602.80 and 77,356.18

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Solution

The fourth proportional to 141,018.94, 194,602.80 and 77,356.18 is: 106,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,018.94 : 194,602.80 = 77,356.18 : x
  2. Step 2: Convert to fraction form
    141,018.94/194,602.80 = 77,356.18/x
  3. Step 3: Cross multiply
    141,018.94x = 194,602.80 × 77,356.18
  4. Step 4: Simplify right side
    141,018.94x = 15,053,729,225.30
  5. Step 5: Solve for x
    x = 15,053,729,225.30/141,018.94
  6. Step 6: Final answer
    x = 106,749.70

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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.