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Finding the Fourth Proportional to 170,597, 256,012.14 and 59,789

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Solution

The fourth proportional to 170,597, 256,012.14 and 59,789 is: 89,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,597 : 256,012.14 = 59,789 : x
  2. Step 2: Convert to fraction form
    170,597/256,012.14 = 59,789/x
  3. Step 3: Cross multiply
    170,597x = 256,012.14 × 59,789
  4. Step 4: Simplify right side
    170,597x = 15,306,709,838.46
  5. Step 5: Solve for x
    x = 15,306,709,838.46/170,597
  6. Step 6: Final answer
    x = 89,724.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.