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Finding the Fourth Proportional to 105,650.64, 145,798.44 and 57,904.40

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Solution

The fourth proportional to 105,650.64, 145,798.44 and 57,904.40 is: 79,908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,650.64 : 145,798.44 = 57,904.40 : x
  2. Step 2: Convert to fraction form
    105,650.64/145,798.44 = 57,904.40/x
  3. Step 3: Cross multiply
    105,650.64x = 145,798.44 × 57,904.40
  4. Step 4: Simplify right side
    105,650.64x = 8,442,371,189.14
  5. Step 5: Solve for x
    x = 8,442,371,189.14/105,650.64
  6. Step 6: Final answer
    x = 79,908.38

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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.