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Finding the Fourth Proportional to 103,407.30, 155,147.40 and 99,762.30

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Solution

The fourth proportional to 103,407.30, 155,147.40 and 99,762.30 is: 149,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,407.30 : 155,147.40 = 99,762.30 : x
  2. Step 2: Convert to fraction form
    103,407.30/155,147.40 = 99,762.30/x
  3. Step 3: Cross multiply
    103,407.30x = 155,147.40 × 99,762.30
  4. Step 4: Simplify right side
    103,407.30x = 15,477,861,463.02
  5. Step 5: Solve for x
    x = 15,477,861,463.02/103,407.30
  6. Step 6: Final answer
    x = 149,678.62

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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.