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Finding the Fourth Proportional to 179,758.02, 269,598.75 and 53,364

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Solution

The fourth proportional to 179,758.02, 269,598.75 and 53,364 is: 80,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,758.02 : 269,598.75 = 53,364 : x
  2. Step 2: Convert to fraction form
    179,758.02/269,598.75 = 53,364/x
  3. Step 3: Cross multiply
    179,758.02x = 269,598.75 × 53,364
  4. Step 4: Simplify right side
    179,758.02x = 14,386,867,695
  5. Step 5: Solve for x
    x = 14,386,867,695/179,758.02
  6. Step 6: Final answer
    x = 80,034.64

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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.