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Finding the Fourth Proportional to 134,564, 201,842.16 and 41,056.16

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Solution

The fourth proportional to 134,564, 201,842.16 and 41,056.16 is: 61,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,564 : 201,842.16 = 41,056.16 : x
  2. Step 2: Convert to fraction form
    134,564/201,842.16 = 41,056.16/x
  3. Step 3: Cross multiply
    134,564x = 201,842.16 × 41,056.16
  4. Step 4: Simplify right side
    134,564x = 8,286,864,015.71
  5. Step 5: Solve for x
    x = 8,286,864,015.71/134,564
  6. Step 6: Final answer
    x = 61,583.07

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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.