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Finding the Fourth Proportional to 76,199, 105,154.66 and 42,665.72

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Solution

The fourth proportional to 76,199, 105,154.66 and 42,665.72 is: 58,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,199 : 105,154.66 = 42,665.72 : x
  2. Step 2: Convert to fraction form
    76,199/105,154.66 = 42,665.72/x
  3. Step 3: Cross multiply
    76,199x = 105,154.66 × 42,665.72
  4. Step 4: Simplify right side
    76,199x = 4,486,499,280.26
  5. Step 5: Solve for x
    x = 4,486,499,280.26/76,199
  6. Step 6: Final answer
    x = 58,878.72

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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.