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Finding the Fourth Proportional to 202,052.50, 302,619.98 and 156,709.87

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Solution

The fourth proportional to 202,052.50, 302,619.98 and 156,709.87 is: 234,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,052.50 : 302,619.98 = 156,709.87 : x
  2. Step 2: Convert to fraction form
    202,052.50/302,619.98 = 156,709.87/x
  3. Step 3: Cross multiply
    202,052.50x = 302,619.98 × 156,709.87
  4. Step 4: Simplify right side
    202,052.50x = 47,423,535,428.55
  5. Step 5: Solve for x
    x = 47,423,535,428.55/202,052.50
  6. Step 6: Final answer
    x = 234,708.98

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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.