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Finding the Fourth Proportional to 169,832.16, 254,784.24 and 57,506.94

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Solution

The fourth proportional to 169,832.16, 254,784.24 and 57,506.94 is: 86,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,832.16 : 254,784.24 = 57,506.94 : x
  2. Step 2: Convert to fraction form
    169,832.16/254,784.24 = 57,506.94/x
  3. Step 3: Cross multiply
    169,832.16x = 254,784.24 × 57,506.94
  4. Step 4: Simplify right side
    169,832.16x = 14,651,862,002.63
  5. Step 5: Solve for x
    x = 14,651,862,002.63/169,832.16
  6. Step 6: Final answer
    x = 86,272.60

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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.