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Finding the Fourth Proportional to 507,404.50, 761,151.71 and 133,427.50

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Solution

The fourth proportional to 507,404.50, 761,151.71 and 133,427.50 is: 200,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,404.50 : 761,151.71 = 133,427.50 : x
  2. Step 2: Convert to fraction form
    507,404.50/761,151.71 = 133,427.50/x
  3. Step 3: Cross multiply
    507,404.50x = 761,151.71 × 133,427.50
  4. Step 4: Simplify right side
    507,404.50x = 101,558,569,118.89
  5. Step 5: Solve for x
    x = 101,558,569,118.89/507,404.50
  6. Step 6: Final answer
    x = 200,153.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.