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Finding the Fourth Proportional to 238,085.70, 357,128.55 and 185,534.52

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Solution

The fourth proportional to 238,085.70, 357,128.55 and 185,534.52 is: 278,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,085.70 : 357,128.55 = 185,534.52 : x
  2. Step 2: Convert to fraction form
    238,085.70/357,128.55 = 185,534.52/x
  3. Step 3: Cross multiply
    238,085.70x = 357,128.55 × 185,534.52
  4. Step 4: Simplify right side
    238,085.70x = 66,259,674,102.55
  5. Step 5: Solve for x
    x = 66,259,674,102.55/238,085.70
  6. Step 6: Final answer
    x = 278,301.78

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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.