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Finding the Fourth Proportional to 103,684.60, 155,354.10 and 97,463.80

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Solution

The fourth proportional to 103,684.60, 155,354.10 and 97,463.80 is: 146,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684.60 : 155,354.10 = 97,463.80 : x
  2. Step 2: Convert to fraction form
    103,684.60/155,354.10 = 97,463.80/x
  3. Step 3: Cross multiply
    103,684.60x = 155,354.10 × 97,463.80
  4. Step 4: Simplify right side
    103,684.60x = 15,141,400,931.58
  5. Step 5: Solve for x
    x = 15,141,400,931.58/103,684.60
  6. Step 6: Final answer
    x = 146,033.27

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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.