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Finding the Fourth Proportional to 105,699.99, 145,864.88 and 57,953.22

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Solution

The fourth proportional to 105,699.99, 145,864.88 and 57,953.22 is: 79,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,699.99 : 145,864.88 = 57,953.22 : x
  2. Step 2: Convert to fraction form
    105,699.99/145,864.88 = 57,953.22/x
  3. Step 3: Cross multiply
    105,699.99x = 145,864.88 × 57,953.22
  4. Step 4: Simplify right side
    105,699.99x = 8,453,339,191.15
  5. Step 5: Solve for x
    x = 8,453,339,191.15/105,699.99
  6. Step 6: Final answer
    x = 79,974.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.