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Finding the Fourth Proportional to 152,967.90, 229,362.75 and 59,364.30

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Solution

The fourth proportional to 152,967.90, 229,362.75 and 59,364.30 is: 89,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,967.90 : 229,362.75 = 59,364.30 : x
  2. Step 2: Convert to fraction form
    152,967.90/229,362.75 = 59,364.30/x
  3. Step 3: Cross multiply
    152,967.90x = 229,362.75 × 59,364.30
  4. Step 4: Simplify right side
    152,967.90x = 13,615,959,099.83
  5. Step 5: Solve for x
    x = 13,615,959,099.83/152,967.90
  6. Step 6: Final answer
    x = 89,011.87

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