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Finding the Fourth Proportional to 216,465.92, 324,704.44 and 102,587

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Solution

The fourth proportional to 216,465.92, 324,704.44 and 102,587 is: 153,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,465.92 : 324,704.44 = 102,587 : x
  2. Step 2: Convert to fraction form
    216,465.92/324,704.44 = 102,587/x
  3. Step 3: Cross multiply
    216,465.92x = 324,704.44 × 102,587
  4. Step 4: Simplify right side
    216,465.92x = 33,310,454,386.28
  5. Step 5: Solve for x
    x = 33,310,454,386.28/216,465.92
  6. Step 6: Final answer
    x = 153,883.13

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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.