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Finding the Fourth Proportional to 171,756.50, 257,658.12 and 59,406.53

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Solution

The fourth proportional to 171,756.50, 257,658.12 and 59,406.53 is: 89,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,756.50 : 257,658.12 = 59,406.53 : x
  2. Step 2: Convert to fraction form
    171,756.50/257,658.12 = 59,406.53/x
  3. Step 3: Cross multiply
    171,756.50x = 257,658.12 × 59,406.53
  4. Step 4: Simplify right side
    171,756.50x = 15,306,573,547.23
  5. Step 5: Solve for x
    x = 15,306,573,547.23/171,756.50
  6. Step 6: Final answer
    x = 89,117.87

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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.