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Finding the Fourth Proportional to 185,314.34, 255,733.76 and 100,431.40

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Solution

The fourth proportional to 185,314.34, 255,733.76 and 100,431.40 is: 138,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,314.34 : 255,733.76 = 100,431.40 : x
  2. Step 2: Convert to fraction form
    185,314.34/255,733.76 = 100,431.40/x
  3. Step 3: Cross multiply
    185,314.34x = 255,733.76 × 100,431.40
  4. Step 4: Simplify right side
    185,314.34x = 25,683,699,544.06
  5. Step 5: Solve for x
    x = 25,683,699,544.06/185,314.34
  6. Step 6: Final answer
    x = 138,595.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.