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Finding the Fourth Proportional to 177,373.25, 265,901.64 and 65,027.23

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Solution

The fourth proportional to 177,373.25, 265,901.64 and 65,027.23 is: 97,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,373.25 : 265,901.64 = 65,027.23 : x
  2. Step 2: Convert to fraction form
    177,373.25/265,901.64 = 65,027.23/x
  3. Step 3: Cross multiply
    177,373.25x = 265,901.64 × 65,027.23
  4. Step 4: Simplify right side
    177,373.25x = 17,290,848,062.67
  5. Step 5: Solve for x
    x = 17,290,848,062.67/177,373.25
  6. Step 6: Final answer
    x = 97,482.84

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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.