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Finding the Fourth Proportional to 170,306, 255,463.32 and 59,498

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Solution

The fourth proportional to 170,306, 255,463.32 and 59,498 is: 89,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,306 : 255,463.32 = 59,498 : x
  2. Step 2: Convert to fraction form
    170,306/255,463.32 = 59,498/x
  3. Step 3: Cross multiply
    170,306x = 255,463.32 × 59,498
  4. Step 4: Simplify right side
    170,306x = 15,199,556,613.36
  5. Step 5: Solve for x
    x = 15,199,556,613.36/170,306
  6. Step 6: Final answer
    x = 89,248.51

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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.