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Finding the Fourth Proportional to 164,527.59, 246,812.14 and 56,478.01

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Solution

The fourth proportional to 164,527.59, 246,812.14 and 56,478.01 is: 84,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,527.59 : 246,812.14 = 56,478.01 : x
  2. Step 2: Convert to fraction form
    164,527.59/246,812.14 = 56,478.01/x
  3. Step 3: Cross multiply
    164,527.59x = 246,812.14 × 56,478.01
  4. Step 4: Simplify right side
    164,527.59x = 13,939,458,511.04
  5. Step 5: Solve for x
    x = 13,939,458,511.04/164,527.59
  6. Step 6: Final answer
    x = 84,724.14

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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.