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Finding the Fourth Proportional to 127,770.64, 191,444.09 and 77,699.27

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Solution

The fourth proportional to 127,770.64, 191,444.09 and 77,699.27 is: 116,420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,770.64 : 191,444.09 = 77,699.27 : x
  2. Step 2: Convert to fraction form
    127,770.64/191,444.09 = 77,699.27/x
  3. Step 3: Cross multiply
    127,770.64x = 191,444.09 × 77,699.27
  4. Step 4: Simplify right side
    127,770.64x = 14,875,065,650.32
  5. Step 5: Solve for x
    x = 14,875,065,650.32/127,770.64
  6. Step 6: Final answer
    x = 116,420.07

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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.