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Finding the Fourth Proportional to 177,655, 266,482.52 and 46,327

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Solution

The fourth proportional to 177,655, 266,482.52 and 46,327 is: 69,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,655 : 266,482.52 = 46,327 : x
  2. Step 2: Convert to fraction form
    177,655/266,482.52 = 46,327/x
  3. Step 3: Cross multiply
    177,655x = 266,482.52 × 46,327
  4. Step 4: Simplify right side
    177,655x = 12,345,335,704.04
  5. Step 5: Solve for x
    x = 12,345,335,704.04/177,655
  6. Step 6: Final answer
    x = 69,490.51

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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.