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Finding the Fourth Proportional to 169,880.68, 254,814.53 and 51,547.24

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Solution

The fourth proportional to 169,880.68, 254,814.53 and 51,547.24 is: 77,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,880.68 : 254,814.53 = 51,547.24 : x
  2. Step 2: Convert to fraction form
    169,880.68/254,814.53 = 51,547.24/x
  3. Step 3: Cross multiply
    169,880.68x = 254,814.53 × 51,547.24
  4. Step 4: Simplify right side
    169,880.68x = 13,134,984,201.59
  5. Step 5: Solve for x
    x = 13,134,984,201.59/169,880.68
  6. Step 6: Final answer
    x = 77,318.88

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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.