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Finding the Fourth Proportional to 145,216.40, 217,724.70 and 74,001.20

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Solution

The fourth proportional to 145,216.40, 217,724.70 and 74,001.20 is: 110,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,216.40 : 217,724.70 = 74,001.20 : x
  2. Step 2: Convert to fraction form
    145,216.40/217,724.70 = 74,001.20/x
  3. Step 3: Cross multiply
    145,216.40x = 217,724.70 × 74,001.20
  4. Step 4: Simplify right side
    145,216.40x = 16,111,889,069.64
  5. Step 5: Solve for x
    x = 16,111,889,069.64/145,216.40
  6. Step 6: Final answer
    x = 110,950.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.