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Finding the Fourth Proportional to 235,258.31, 352,689.08 and 102,038.22

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Solution

The fourth proportional to 235,258.31, 352,689.08 and 102,038.22 is: 152,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,258.31 : 352,689.08 = 102,038.22 : x
  2. Step 2: Convert to fraction form
    235,258.31/352,689.08 = 102,038.22/x
  3. Step 3: Cross multiply
    235,258.31x = 352,689.08 × 102,038.22
  4. Step 4: Simplify right side
    235,258.31x = 35,987,765,936.64
  5. Step 5: Solve for x
    x = 35,987,765,936.64/235,258.31
  6. Step 6: Final answer
    x = 152,971.28

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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.