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Finding the Fourth Proportional to 177,692, 266,538.04 and 46,364

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Solution

The fourth proportional to 177,692, 266,538.04 and 46,364 is: 69,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,692 : 266,538.04 = 46,364 : x
  2. Step 2: Convert to fraction form
    177,692/266,538.04 = 46,364/x
  3. Step 3: Cross multiply
    177,692x = 266,538.04 × 46,364
  4. Step 4: Simplify right side
    177,692x = 12,357,769,686.56
  5. Step 5: Solve for x
    x = 12,357,769,686.56/177,692
  6. Step 6: Final answer
    x = 69,546.01

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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.