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Finding the Fourth Proportional to 307,752.50, 461,688.60 and 118,199

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Solution

The fourth proportional to 307,752.50, 461,688.60 and 118,199 is: 177,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,752.50 : 461,688.60 = 118,199 : x
  2. Step 2: Convert to fraction form
    307,752.50/461,688.60 = 118,199/x
  3. Step 3: Cross multiply
    307,752.50x = 461,688.60 × 118,199
  4. Step 4: Simplify right side
    307,752.50x = 54,571,130,831.40
  5. Step 5: Solve for x
    x = 54,571,130,831.40/307,752.50
  6. Step 6: Final answer
    x = 177,321.49

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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.