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Finding the Fourth Proportional to 202,258.60, 303,582.30 and 102,531.40

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Solution

The fourth proportional to 202,258.60, 303,582.30 and 102,531.40 is: 153,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,258.60 : 303,582.30 = 102,531.40 : x
  2. Step 2: Convert to fraction form
    202,258.60/303,582.30 = 102,531.40/x
  3. Step 3: Cross multiply
    202,258.60x = 303,582.30 × 102,531.40
  4. Step 4: Simplify right side
    202,258.60x = 31,126,718,234.22
  5. Step 5: Solve for x
    x = 31,126,718,234.22/202,258.60
  6. Step 6: Final answer
    x = 153,895.65

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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.