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Finding the Fourth Proportional to 149,136.68, 205,802.82 and 85,429.16

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Solution

The fourth proportional to 149,136.68, 205,802.82 and 85,429.16 is: 117,888.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,136.68 : 205,802.82 = 85,429.16 : x
  2. Step 2: Convert to fraction form
    149,136.68/205,802.82 = 85,429.16/x
  3. Step 3: Cross multiply
    149,136.68x = 205,802.82 × 85,429.16
  4. Step 4: Simplify right side
    149,136.68x = 17,581,562,038.23
  5. Step 5: Solve for x
    x = 17,581,562,038.23/149,136.68
  6. Step 6: Final answer
    x = 117,888.92

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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.