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Finding the Fourth Proportional to 535,203.10, 802,912.65 and 156,123.10

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Solution

The fourth proportional to 535,203.10, 802,912.65 and 156,123.10 is: 234,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,203.10 : 802,912.65 = 156,123.10 : x
  2. Step 2: Convert to fraction form
    535,203.10/802,912.65 = 156,123.10/x
  3. Step 3: Cross multiply
    535,203.10x = 802,912.65 × 156,123.10
  4. Step 4: Simplify right side
    535,203.10x = 125,353,211,947.22
  5. Step 5: Solve for x
    x = 125,353,211,947.22/535,203.10
  6. Step 6: Final answer
    x = 234,216.15

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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.