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Finding the Fourth Proportional to 102,854.92, 154,370.04 and 40,569.16

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Solution

The fourth proportional to 102,854.92, 154,370.04 and 40,569.16 is: 60,888.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,854.92 : 154,370.04 = 40,569.16 : x
  2. Step 2: Convert to fraction form
    102,854.92/154,370.04 = 40,569.16/x
  3. Step 3: Cross multiply
    102,854.92x = 154,370.04 × 40,569.16
  4. Step 4: Simplify right side
    102,854.92x = 6,262,662,851.97
  5. Step 5: Solve for x
    x = 6,262,662,851.97/102,854.92
  6. Step 6: Final answer
    x = 60,888.32

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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.