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Finding the Fourth Proportional to 103,699.10, 155,548.65 and 101,971.10

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Solution

The fourth proportional to 103,699.10, 155,548.65 and 101,971.10 is: 152,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,699.10 : 155,548.65 = 101,971.10 : x
  2. Step 2: Convert to fraction form
    103,699.10/155,548.65 = 101,971.10/x
  3. Step 3: Cross multiply
    103,699.10x = 155,548.65 × 101,971.10
  4. Step 4: Simplify right side
    103,699.10x = 15,861,466,944.02
  5. Step 5: Solve for x
    x = 15,861,466,944.02/103,699.10
  6. Step 6: Final answer
    x = 152,956.65

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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.