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Finding the Fourth Proportional to 96,396.55, 144,343.32 and 77,573.77

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Solution

The fourth proportional to 96,396.55, 144,343.32 and 77,573.77 is: 116,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,396.55 : 144,343.32 = 77,573.77 : x
  2. Step 2: Convert to fraction form
    96,396.55/144,343.32 = 77,573.77/x
  3. Step 3: Cross multiply
    96,396.55x = 144,343.32 × 77,573.77
  4. Step 4: Simplify right side
    96,396.55x = 11,197,254,854.96
  5. Step 5: Solve for x
    x = 11,197,254,854.96/96,396.55
  6. Step 6: Final answer
    x = 116,158.26

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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.