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Finding the Fourth Proportional to 156,952.65, 235,428.98 and 150,829.05

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Solution

The fourth proportional to 156,952.65, 235,428.98 and 150,829.05 is: 226,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952.65 : 235,428.98 = 150,829.05 : x
  2. Step 2: Convert to fraction form
    156,952.65/235,428.98 = 150,829.05/x
  3. Step 3: Cross multiply
    156,952.65x = 235,428.98 × 150,829.05
  4. Step 4: Simplify right side
    156,952.65x = 35,509,528,641.72
  5. Step 5: Solve for x
    x = 35,509,528,641.72/156,952.65
  6. Step 6: Final answer
    x = 226,243.58

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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.