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Finding the Fourth Proportional to 235,258.35, 352,689.12 and 102,038.25

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Solution

The fourth proportional to 235,258.35, 352,689.12 and 102,038.25 is: 152,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,258.35 : 352,689.12 = 102,038.25 : x
  2. Step 2: Convert to fraction form
    235,258.35/352,689.12 = 102,038.25/x
  3. Step 3: Cross multiply
    235,258.35x = 352,689.12 × 102,038.25
  4. Step 4: Simplify right side
    235,258.35x = 35,987,780,598.84
  5. Step 5: Solve for x
    x = 35,987,780,598.84/235,258.35
  6. Step 6: Final answer
    x = 152,971.32

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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.