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Finding the Fourth Proportional to 103,428.40, 155,142.60 and 77,184.40

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Solution

The fourth proportional to 103,428.40, 155,142.60 and 77,184.40 is: 115,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,428.40 : 155,142.60 = 77,184.40 : x
  2. Step 2: Convert to fraction form
    103,428.40/155,142.60 = 77,184.40/x
  3. Step 3: Cross multiply
    103,428.40x = 155,142.60 × 77,184.40
  4. Step 4: Simplify right side
    103,428.40x = 11,974,588,495.44
  5. Step 5: Solve for x
    x = 11,974,588,495.44/103,428.40
  6. Step 6: Final answer
    x = 115,776.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.