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Finding the Fourth Proportional to 119,002.88, 164,089.32 and 75,924.74

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Solution

The fourth proportional to 119,002.88, 164,089.32 and 75,924.74 is: 104,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,002.88 : 164,089.32 = 75,924.74 : x
  2. Step 2: Convert to fraction form
    119,002.88/164,089.32 = 75,924.74/x
  3. Step 3: Cross multiply
    119,002.88x = 164,089.32 × 75,924.74
  4. Step 4: Simplify right side
    119,002.88x = 12,458,438,957.78
  5. Step 5: Solve for x
    x = 12,458,438,957.78/119,002.88
  6. Step 6: Final answer
    x = 104,690.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.