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Finding the Fourth Proportional to 158,859.63, 219,275.49 and 102,271

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Solution

The fourth proportional to 158,859.63, 219,275.49 and 102,271 is: 141,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,859.63 : 219,275.49 = 102,271 : x
  2. Step 2: Convert to fraction form
    158,859.63/219,275.49 = 102,271/x
  3. Step 3: Cross multiply
    158,859.63x = 219,275.49 × 102,271
  4. Step 4: Simplify right side
    158,859.63x = 22,425,523,637.79
  5. Step 5: Solve for x
    x = 22,425,523,637.79/158,859.63
  6. Step 6: Final answer
    x = 141,165.65

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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.