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Finding the Fourth Proportional to 127,116, 174,798 and 110,319.84

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Solution

The fourth proportional to 127,116, 174,798 and 110,319.84 is: 151,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,116 : 174,798 = 110,319.84 : x
  2. Step 2: Convert to fraction form
    127,116/174,798 = 110,319.84/x
  3. Step 3: Cross multiply
    127,116x = 174,798 × 110,319.84
  4. Step 4: Simplify right side
    127,116x = 19,283,687,392.32
  5. Step 5: Solve for x
    x = 19,283,687,392.32/127,116
  6. Step 6: Final answer
    x = 151,701.50

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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.