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Finding the Fourth Proportional to 154,368, 213,027.84 and 83,712

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Solution

The fourth proportional to 154,368, 213,027.84 and 83,712 is: 115,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,368 : 213,027.84 = 83,712 : x
  2. Step 2: Convert to fraction form
    154,368/213,027.84 = 83,712/x
  3. Step 3: Cross multiply
    154,368x = 213,027.84 × 83,712
  4. Step 4: Simplify right side
    154,368x = 17,832,986,542.08
  5. Step 5: Solve for x
    x = 17,832,986,542.08/154,368
  6. Step 6: Final answer
    x = 115,522.56

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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.