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Finding the Fourth Proportional to 127,564.90, 176,063.93 and 84,468.42

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Solution

The fourth proportional to 127,564.90, 176,063.93 and 84,468.42 is: 116,582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,564.90 : 176,063.93 = 84,468.42 : x
  2. Step 2: Convert to fraction form
    127,564.90/176,063.93 = 84,468.42/x
  3. Step 3: Cross multiply
    127,564.90x = 176,063.93 × 84,468.42
  4. Step 4: Simplify right side
    127,564.90x = 14,871,841,986.09
  5. Step 5: Solve for x
    x = 14,871,841,986.09/127,564.90
  6. Step 6: Final answer
    x = 116,582.56

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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.