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Finding the Fourth Proportional to 217,137.16, 325,598.82 and 103,253.32

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Solution

The fourth proportional to 217,137.16, 325,598.82 and 103,253.32 is: 154,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,137.16 : 325,598.82 = 103,253.32 : x
  2. Step 2: Convert to fraction form
    217,137.16/325,598.82 = 103,253.32/x
  3. Step 3: Cross multiply
    217,137.16x = 325,598.82 × 103,253.32
  4. Step 4: Simplify right side
    217,137.16x = 33,619,159,153.08
  5. Step 5: Solve for x
    x = 33,619,159,153.08/217,137.16
  6. Step 6: Final answer
    x = 154,829.14

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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.