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Finding the Fourth Proportional to 103,802.29, 155,752.64 and 61,765.41

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Solution

The fourth proportional to 103,802.29, 155,752.64 and 61,765.41 is: 92,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,802.29 : 155,752.64 = 61,765.41 : x
  2. Step 2: Convert to fraction form
    103,802.29/155,752.64 = 61,765.41/x
  3. Step 3: Cross multiply
    103,802.29x = 155,752.64 × 61,765.41
  4. Step 4: Simplify right side
    103,802.29x = 9,620,125,668.18
  5. Step 5: Solve for x
    x = 9,620,125,668.18/103,802.29
  6. Step 6: Final answer
    x = 92,677.39

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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.