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Finding the Fourth Proportional to 173,865.80, 260,798.70 and 49,206.80

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Solution

The fourth proportional to 173,865.80, 260,798.70 and 49,206.80 is: 73,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,865.80 : 260,798.70 = 49,206.80 : x
  2. Step 2: Convert to fraction form
    173,865.80/260,798.70 = 49,206.80/x
  3. Step 3: Cross multiply
    173,865.80x = 260,798.70 × 49,206.80
  4. Step 4: Simplify right side
    173,865.80x = 12,833,069,471.16
  5. Step 5: Solve for x
    x = 12,833,069,471.16/173,865.80
  6. Step 6: Final answer
    x = 73,810.20

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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.