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Finding the Fourth Proportional to 127,971.51, 176,503.65 and 76,980.39

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Solution

The fourth proportional to 127,971.51, 176,503.65 and 76,980.39 is: 106,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,971.51 : 176,503.65 = 76,980.39 : x
  2. Step 2: Convert to fraction form
    127,971.51/176,503.65 = 76,980.39/x
  3. Step 3: Cross multiply
    127,971.51x = 176,503.65 × 76,980.39
  4. Step 4: Simplify right side
    127,971.51x = 13,587,319,813.42
  5. Step 5: Solve for x
    x = 13,587,319,813.42/127,971.51
  6. Step 6: Final answer
    x = 106,174.57

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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.