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Finding the Fourth Proportional to 177,588.70, 266,370.90 and 57,643.90

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Solution

The fourth proportional to 177,588.70, 266,370.90 and 57,643.90 is: 86,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,588.70 : 266,370.90 = 57,643.90 : x
  2. Step 2: Convert to fraction form
    177,588.70/266,370.90 = 57,643.90/x
  3. Step 3: Cross multiply
    177,588.70x = 266,370.90 × 57,643.90
  4. Step 4: Simplify right side
    177,588.70x = 15,354,657,522.51
  5. Step 5: Solve for x
    x = 15,354,657,522.51/177,588.70
  6. Step 6: Final answer
    x = 86,461.91

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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.