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Finding the Fourth Proportional to 177,368.10, 266,128.96 and 83,825.70

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Solution

The fourth proportional to 177,368.10, 266,128.96 and 83,825.70 is: 125,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,368.10 : 266,128.96 = 83,825.70 : x
  2. Step 2: Convert to fraction form
    177,368.10/266,128.96 = 83,825.70/x
  3. Step 3: Cross multiply
    177,368.10x = 266,128.96 × 83,825.70
  4. Step 4: Simplify right side
    177,368.10x = 22,308,446,362.27
  5. Step 5: Solve for x
    x = 22,308,446,362.27/177,368.10
  6. Step 6: Final answer
    x = 125,774.85

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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.