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Finding the Fourth Proportional to 105,136.47, 144,915.48 and 74,519.82

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Solution

The fourth proportional to 105,136.47, 144,915.48 and 74,519.82 is: 102,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,136.47 : 144,915.48 = 74,519.82 : x
  2. Step 2: Convert to fraction form
    105,136.47/144,915.48 = 74,519.82/x
  3. Step 3: Cross multiply
    105,136.47x = 144,915.48 × 74,519.82
  4. Step 4: Simplify right side
    105,136.47x = 10,799,075,484.81
  5. Step 5: Solve for x
    x = 10,799,075,484.81/105,136.47
  6. Step 6: Final answer
    x = 102,714.84

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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.