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Finding the Fourth Proportional to 120,848, 181,225.72 and 39,776

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Solution

The fourth proportional to 120,848, 181,225.72 and 39,776 is: 59,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,848 : 181,225.72 = 39,776 : x
  2. Step 2: Convert to fraction form
    120,848/181,225.72 = 39,776/x
  3. Step 3: Cross multiply
    120,848x = 181,225.72 × 39,776
  4. Step 4: Simplify right side
    120,848x = 7,208,434,238.72
  5. Step 5: Solve for x
    x = 7,208,434,238.72/120,848
  6. Step 6: Final answer
    x = 59,648.77

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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.