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Finding the Fourth Proportional to 202,648, 279,668.72 and 112,002.02

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Solution

The fourth proportional to 202,648, 279,668.72 and 112,002.02 is: 154,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,648 : 279,668.72 = 112,002.02 : x
  2. Step 2: Convert to fraction form
    202,648/279,668.72 = 112,002.02/x
  3. Step 3: Cross multiply
    202,648x = 279,668.72 × 112,002.02
  4. Step 4: Simplify right side
    202,648x = 31,323,461,570.81
  5. Step 5: Solve for x
    x = 31,323,461,570.81/202,648
  6. Step 6: Final answer
    x = 154,570.79

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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.