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Finding the Fourth Proportional to 174,004.96, 260,951.28 and 49,312.48

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Solution

The fourth proportional to 174,004.96, 260,951.28 and 49,312.48 is: 73,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,004.96 : 260,951.28 = 49,312.48 : x
  2. Step 2: Convert to fraction form
    174,004.96/260,951.28 = 49,312.48/x
  3. Step 3: Cross multiply
    174,004.96x = 260,951.28 × 49,312.48
  4. Step 4: Simplify right side
    174,004.96x = 12,868,154,775.97
  5. Step 5: Solve for x
    x = 12,868,154,775.97/174,004.96
  6. Step 6: Final answer
    x = 73,952.80

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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.