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Finding the Fourth Proportional to 159,204.51, 238,724.33 and 46,870.11

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Solution

The fourth proportional to 159,204.51, 238,724.33 and 46,870.11 is: 70,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,204.51 : 238,724.33 = 46,870.11 : x
  2. Step 2: Convert to fraction form
    159,204.51/238,724.33 = 46,870.11/x
  3. Step 3: Cross multiply
    159,204.51x = 238,724.33 × 46,870.11
  4. Step 4: Simplify right side
    159,204.51x = 11,189,035,372.43
  5. Step 5: Solve for x
    x = 11,189,035,372.43/159,204.51
  6. Step 6: Final answer
    x = 70,280.89

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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.