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Finding the Fourth Proportional to 101,430.30, 152,145.45 and 51,491.10

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Solution

The fourth proportional to 101,430.30, 152,145.45 and 51,491.10 is: 77,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,430.30 : 152,145.45 = 51,491.10 : x
  2. Step 2: Convert to fraction form
    101,430.30/152,145.45 = 51,491.10/x
  3. Step 3: Cross multiply
    101,430.30x = 152,145.45 × 51,491.10
  4. Step 4: Simplify right side
    101,430.30x = 7,834,136,580.50
  5. Step 5: Solve for x
    x = 7,834,136,580.50/101,430.30
  6. Step 6: Final answer
    x = 77,236.65

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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.