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Finding the Fourth Proportional to 507,409.65, 761,159.43 and 133,432.65

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Solution

The fourth proportional to 507,409.65, 761,159.43 and 133,432.65 is: 200,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,409.65 : 761,159.43 = 133,432.65 : x
  2. Step 2: Convert to fraction form
    507,409.65/761,159.43 = 133,432.65/x
  3. Step 3: Cross multiply
    507,409.65x = 761,159.43 × 133,432.65
  4. Step 4: Simplify right side
    507,409.65x = 101,563,519,817.39
  5. Step 5: Solve for x
    x = 101,563,519,817.39/507,409.65
  6. Step 6: Final answer
    x = 200,160.80

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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.