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Finding the Fourth Proportional to 202,392, 279,301.12 and 112,968

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Solution

The fourth proportional to 202,392, 279,301.12 and 112,968 is: 155,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,392 : 279,301.12 = 112,968 : x
  2. Step 2: Convert to fraction form
    202,392/279,301.12 = 112,968/x
  3. Step 3: Cross multiply
    202,392x = 279,301.12 × 112,968
  4. Step 4: Simplify right side
    202,392x = 31,552,088,924.16
  5. Step 5: Solve for x
    x = 31,552,088,924.16/202,392
  6. Step 6: Final answer
    x = 155,895.93

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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.