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Finding the Fourth Proportional to 177,952.12, 266,969.70 and 51,595

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Solution

The fourth proportional to 177,952.12, 266,969.70 and 51,595 is: 77,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,952.12 : 266,969.70 = 51,595 : x
  2. Step 2: Convert to fraction form
    177,952.12/266,969.70 = 51,595/x
  3. Step 3: Cross multiply
    177,952.12x = 266,969.70 × 51,595
  4. Step 4: Simplify right side
    177,952.12x = 13,774,301,671.50
  5. Step 5: Solve for x
    x = 13,774,301,671.50/177,952.12
  6. Step 6: Final answer
    x = 77,404.54

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1.5x scale

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.