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Finding the Fourth Proportional to 235,285.96, 352,928.10 and 102,148.84

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Solution

The fourth proportional to 235,285.96, 352,928.10 and 102,148.84 is: 153,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,285.96 : 352,928.10 = 102,148.84 : x
  2. Step 2: Convert to fraction form
    235,285.96/352,928.10 = 102,148.84/x
  3. Step 3: Cross multiply
    235,285.96x = 352,928.10 × 102,148.84
  4. Step 4: Simplify right side
    235,285.96x = 36,051,196,018.40
  5. Step 5: Solve for x
    x = 36,051,196,018.40/235,285.96
  6. Step 6: Final answer
    x = 153,222.90

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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.