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Finding the Fourth Proportional to 202,967.53, 280,088.27 and 112,327.31

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Solution

The fourth proportional to 202,967.53, 280,088.27 and 112,327.31 is: 155,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,967.53 : 280,088.27 = 112,327.31 : x
  2. Step 2: Convert to fraction form
    202,967.53/280,088.27 = 112,327.31/x
  3. Step 3: Cross multiply
    202,967.53x = 280,088.27 × 112,327.31
  4. Step 4: Simplify right side
    202,967.53x = 31,461,561,931.65
  5. Step 5: Solve for x
    x = 31,461,561,931.65/202,967.53
  6. Step 6: Final answer
    x = 155,007.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.