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Finding the Fourth Proportional to 156,952.65, 235,428.98 and 156,952.65

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Solution

The fourth proportional to 156,952.65, 235,428.98 and 156,952.65 is: 235,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952.65 : 235,428.98 = 156,952.65 : x
  2. Step 2: Convert to fraction form
    156,952.65/235,428.98 = 156,952.65/x
  3. Step 3: Cross multiply
    156,952.65x = 235,428.98 × 156,952.65
  4. Step 4: Simplify right side
    156,952.65x = 36,951,201,513.03
  5. Step 5: Solve for x
    x = 36,951,201,513.03/156,952.65
  6. Step 6: Final answer
    x = 235,428.98

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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.