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Finding the Fourth Proportional to 127,038.12, 174,872.61 and 109,802.64

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Solution

The fourth proportional to 127,038.12, 174,872.61 and 109,802.64 is: 151,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,038.12 : 174,872.61 = 109,802.64 : x
  2. Step 2: Convert to fraction form
    127,038.12/174,872.61 = 109,802.64/x
  3. Step 3: Cross multiply
    127,038.12x = 174,872.61 × 109,802.64
  4. Step 4: Simplify right side
    127,038.12x = 19,201,474,241.69
  5. Step 5: Solve for x
    x = 19,201,474,241.69/127,038.12
  6. Step 6: Final answer
    x = 151,147.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.