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Finding the Fourth Proportional to 145,498.57, 200,722.01 and 105,148.42

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Solution

The fourth proportional to 145,498.57, 200,722.01 and 105,148.42 is: 145,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,498.57 : 200,722.01 = 105,148.42 : x
  2. Step 2: Convert to fraction form
    145,498.57/200,722.01 = 105,148.42/x
  3. Step 3: Cross multiply
    145,498.57x = 200,722.01 × 105,148.42
  4. Step 4: Simplify right side
    145,498.57x = 21,105,600,681.37
  5. Step 5: Solve for x
    x = 21,105,600,681.37/145,498.57
  6. Step 6: Final answer
    x = 145,057.11

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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.