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Finding the Fourth Proportional to 102,011.32, 152,992.68 and 42,848.11

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Solution

The fourth proportional to 102,011.32, 152,992.68 and 42,848.11 is: 64,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,011.32 : 152,992.68 = 42,848.11 : x
  2. Step 2: Convert to fraction form
    102,011.32/152,992.68 = 42,848.11/x
  3. Step 3: Cross multiply
    102,011.32x = 152,992.68 × 42,848.11
  4. Step 4: Simplify right side
    102,011.32x = 6,555,447,181.83
  5. Step 5: Solve for x
    x = 6,555,447,181.83/102,011.32
  6. Step 6: Final answer
    x = 64,261.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.