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Finding the Fourth Proportional to 356,970.65, 535,596.16 and 157,150.85

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Solution

The fourth proportional to 356,970.65, 535,596.16 and 157,150.85 is: 235,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,970.65 : 535,596.16 = 157,150.85 : x
  2. Step 2: Convert to fraction form
    356,970.65/535,596.16 = 157,150.85/x
  3. Step 3: Cross multiply
    356,970.65x = 535,596.16 × 157,150.85
  4. Step 4: Simplify right side
    356,970.65x = 84,169,388,729.88
  5. Step 5: Solve for x
    x = 84,169,388,729.88/356,970.65
  6. Step 6: Final answer
    x = 235,787.98

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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.