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Finding the Fourth Proportional to 173,984.80, 260,987.12 and 49,316

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Solution

The fourth proportional to 173,984.80, 260,987.12 and 49,316 is: 73,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,984.80 : 260,987.12 = 49,316 : x
  2. Step 2: Convert to fraction form
    173,984.80/260,987.12 = 49,316/x
  3. Step 3: Cross multiply
    173,984.80x = 260,987.12 × 49,316
  4. Step 4: Simplify right side
    173,984.80x = 12,870,840,809.92
  5. Step 5: Solve for x
    x = 12,870,840,809.92/173,984.80
  6. Step 6: Final answer
    x = 73,976.81

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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.