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Finding the Fourth Proportional to 105,123, 157,707.54 and 39,459

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Solution

The fourth proportional to 105,123, 157,707.54 and 39,459 is: 59,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,123 : 157,707.54 = 39,459 : x
  2. Step 2: Convert to fraction form
    105,123/157,707.54 = 39,459/x
  3. Step 3: Cross multiply
    105,123x = 157,707.54 × 39,459
  4. Step 4: Simplify right side
    105,123x = 6,222,981,820.86
  5. Step 5: Solve for x
    x = 6,222,981,820.86/105,123
  6. Step 6: Final answer
    x = 59,197.15

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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.