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Finding the Fourth Proportional to 161,457.21, 242,185.95 and 77,197.50

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Solution

The fourth proportional to 161,457.21, 242,185.95 and 77,197.50 is: 115,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,457.21 : 242,185.95 = 77,197.50 : x
  2. Step 2: Convert to fraction form
    161,457.21/242,185.95 = 77,197.50/x
  3. Step 3: Cross multiply
    161,457.21x = 242,185.95 × 77,197.50
  4. Step 4: Simplify right side
    161,457.21x = 18,696,149,875.13
  5. Step 5: Solve for x
    x = 18,696,149,875.13/161,457.21
  6. Step 6: Final answer
    x = 115,796.31

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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.