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Finding the Fourth Proportional to 189,909.24, 262,070.28 and 105,024.48

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Solution

The fourth proportional to 189,909.24, 262,070.28 and 105,024.48 is: 144,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,909.24 : 262,070.28 = 105,024.48 : x
  2. Step 2: Convert to fraction form
    189,909.24/262,070.28 = 105,024.48/x
  3. Step 3: Cross multiply
    189,909.24x = 262,070.28 × 105,024.48
  4. Step 4: Simplify right side
    189,909.24x = 27,523,794,880.45
  5. Step 5: Solve for x
    x = 27,523,794,880.45/189,909.24
  6. Step 6: Final answer
    x = 144,931.31

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