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Finding the Fourth Proportional to 173,709.74, 260,509.19 and 89,458.87

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Solution

The fourth proportional to 173,709.74, 260,509.19 and 89,458.87 is: 134,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,709.74 : 260,509.19 = 89,458.87 : x
  2. Step 2: Convert to fraction form
    173,709.74/260,509.19 = 89,458.87/x
  3. Step 3: Cross multiply
    173,709.74x = 260,509.19 × 89,458.87
  4. Step 4: Simplify right side
    173,709.74x = 23,304,857,762.02
  5. Step 5: Solve for x
    x = 23,304,857,762.02/173,709.74
  6. Step 6: Final answer
    x = 134,159.76

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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.