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Finding the Fourth Proportional to 235,258.59, 352,689.48 and 102,038.52

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Solution

The fourth proportional to 235,258.59, 352,689.48 and 102,038.52 is: 152,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,258.59 : 352,689.48 = 102,038.52 : x
  2. Step 2: Convert to fraction form
    235,258.59/352,689.48 = 102,038.52/x
  3. Step 3: Cross multiply
    235,258.59x = 352,689.48 × 102,038.52
  4. Step 4: Simplify right side
    235,258.59x = 35,987,910,795.32
  5. Step 5: Solve for x
    x = 35,987,910,795.32/235,258.59
  6. Step 6: Final answer
    x = 152,971.72

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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.