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Finding the Fourth Proportional to 145,263.36, 200,472 and 109,390.08

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Solution

The fourth proportional to 145,263.36, 200,472 and 109,390.08 is: 150,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,263.36 : 200,472 = 109,390.08 : x
  2. Step 2: Convert to fraction form
    145,263.36/200,472 = 109,390.08/x
  3. Step 3: Cross multiply
    145,263.36x = 200,472 × 109,390.08
  4. Step 4: Simplify right side
    145,263.36x = 21,929,648,117.76
  5. Step 5: Solve for x
    x = 21,929,648,117.76/145,263.36
  6. Step 6: Final answer
    x = 150,964.76

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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.