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Finding the Fourth Proportional to 141,222, 194,879.52 and 77,547.36

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Solution

The fourth proportional to 141,222, 194,879.52 and 77,547.36 is: 107,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,222 : 194,879.52 = 77,547.36 : x
  2. Step 2: Convert to fraction form
    141,222/194,879.52 = 77,547.36/x
  3. Step 3: Cross multiply
    141,222x = 194,879.52 × 77,547.36
  4. Step 4: Simplify right side
    141,222x = 15,112,392,294.07
  5. Step 5: Solve for x
    x = 15,112,392,294.07/141,222
  6. Step 6: Final answer
    x = 107,011.60

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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.