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Finding the Fourth Proportional to 185,853.98, 256,479.72 and 100,971.02

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Solution

The fourth proportional to 185,853.98, 256,479.72 and 100,971.02 is: 139,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,853.98 : 256,479.72 = 100,971.02 : x
  2. Step 2: Convert to fraction form
    185,853.98/256,479.72 = 100,971.02/x
  3. Step 3: Cross multiply
    185,853.98x = 256,479.72 × 100,971.02
  4. Step 4: Simplify right side
    185,853.98x = 25,897,018,937.71
  5. Step 5: Solve for x
    x = 25,897,018,937.71/185,853.98
  6. Step 6: Final answer
    x = 139,340.67

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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.