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Finding the Fourth Proportional to 267,412.84, 369,197.46 and 172,085.16

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Solution

The fourth proportional to 267,412.84, 369,197.46 and 172,085.16 is: 237,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,412.84 : 369,197.46 = 172,085.16 : x
  2. Step 2: Convert to fraction form
    267,412.84/369,197.46 = 172,085.16/x
  3. Step 3: Cross multiply
    267,412.84x = 369,197.46 × 172,085.16
  4. Step 4: Simplify right side
    267,412.84x = 63,533,403,975.69
  5. Step 5: Solve for x
    x = 63,533,403,975.69/267,412.84
  6. Step 6: Final answer
    x = 237,585.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.