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Finding the Fourth Proportional to 105,989.31, 158,637.83 and 77,901.93

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Solution

The fourth proportional to 105,989.31, 158,637.83 and 77,901.93 is: 116,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,989.31 : 158,637.83 = 77,901.93 : x
  2. Step 2: Convert to fraction form
    105,989.31/158,637.83 = 77,901.93/x
  3. Step 3: Cross multiply
    105,989.31x = 158,637.83 × 77,901.93
  4. Step 4: Simplify right side
    105,989.31x = 12,358,192,738.50
  5. Step 5: Solve for x
    x = 12,358,192,738.50/105,989.31
  6. Step 6: Final answer
    x = 116,598.48

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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.