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Finding the Fourth Proportional to 141,852.66, 195,754.28 and 77,322.59

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Solution

The fourth proportional to 141,852.66, 195,754.28 and 77,322.59 is: 106,703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,852.66 : 195,754.28 = 77,322.59 : x
  2. Step 2: Convert to fraction form
    141,852.66/195,754.28 = 77,322.59/x
  3. Step 3: Cross multiply
    141,852.66x = 195,754.28 × 77,322.59
  4. Step 4: Simplify right side
    141,852.66x = 15,136,227,933.19
  5. Step 5: Solve for x
    x = 15,136,227,933.19/141,852.66
  6. Step 6: Final answer
    x = 106,703.87

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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.