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Finding the Fourth Proportional to 103,303.43, 154,938.13 and 96,578.81

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Solution

The fourth proportional to 103,303.43, 154,938.13 and 96,578.81 is: 144,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,303.43 : 154,938.13 = 96,578.81 : x
  2. Step 2: Convert to fraction form
    103,303.43/154,938.13 = 96,578.81/x
  3. Step 3: Cross multiply
    103,303.43x = 154,938.13 × 96,578.81
  4. Step 4: Simplify right side
    103,303.43x = 14,963,739,202.89
  5. Step 5: Solve for x
    x = 14,963,739,202.89/103,303.43
  6. Step 6: Final answer
    x = 144,852.30

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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.