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Finding the Fourth Proportional to 152,302.99, 228,489.51 and 51,114.47

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Solution

The fourth proportional to 152,302.99, 228,489.51 and 51,114.47 is: 76,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,302.99 : 228,489.51 = 51,114.47 : x
  2. Step 2: Convert to fraction form
    152,302.99/228,489.51 = 51,114.47/x
  3. Step 3: Cross multiply
    152,302.99x = 228,489.51 × 51,114.47
  4. Step 4: Simplify right side
    152,302.99x = 11,679,119,189.55
  5. Step 5: Solve for x
    x = 11,679,119,189.55/152,302.99
  6. Step 6: Final answer
    x = 76,683.46

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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.