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Finding the Fourth Proportional to 173,646.76, 260,133.10 and 127,971.50

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Solution

The fourth proportional to 173,646.76, 260,133.10 and 127,971.50 is: 191,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,646.76 : 260,133.10 = 127,971.50 : x
  2. Step 2: Convert to fraction form
    173,646.76/260,133.10 = 127,971.50/x
  3. Step 3: Cross multiply
    173,646.76x = 260,133.10 × 127,971.50
  4. Step 4: Simplify right side
    173,646.76x = 33,289,623,006.65
  5. Step 5: Solve for x
    x = 33,289,623,006.65/173,646.76
  6. Step 6: Final answer
    x = 191,708.86

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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.