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Finding the Fourth Proportional to 127,797.40, 191,484.15 and 77,726.03

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Solution

The fourth proportional to 127,797.40, 191,484.15 and 77,726.03 is: 116,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,797.40 : 191,484.15 = 77,726.03 : x
  2. Step 2: Convert to fraction form
    127,797.40/191,484.15 = 77,726.03/x
  3. Step 3: Cross multiply
    127,797.40x = 191,484.15 × 77,726.03
  4. Step 4: Simplify right side
    127,797.40x = 14,883,303,052.84
  5. Step 5: Solve for x
    x = 14,883,303,052.84/127,797.40
  6. Step 6: Final answer
    x = 116,460.14

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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.