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Finding the Fourth Proportional to 149,129.60, 205,828.32 and 85,510.40

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Solution

The fourth proportional to 149,129.60, 205,828.32 and 85,510.40 is: 118,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,129.60 : 205,828.32 = 85,510.40 : x
  2. Step 2: Convert to fraction form
    149,129.60/205,828.32 = 85,510.40/x
  3. Step 3: Cross multiply
    149,129.60x = 205,828.32 × 85,510.40
  4. Step 4: Simplify right side
    149,129.60x = 17,600,461,974.53
  5. Step 5: Solve for x
    x = 17,600,461,974.53/149,129.60
  6. Step 6: Final answer
    x = 118,021.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.