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Finding the Fourth Proportional to 170,806.65, 256,071.50 and 71,041.53

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Solution

The fourth proportional to 170,806.65, 256,071.50 and 71,041.53 is: 106,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,806.65 : 256,071.50 = 71,041.53 : x
  2. Step 2: Convert to fraction form
    170,806.65/256,071.50 = 71,041.53/x
  3. Step 3: Cross multiply
    170,806.65x = 256,071.50 × 71,041.53
  4. Step 4: Simplify right side
    170,806.65x = 18,191,711,149.40
  5. Step 5: Solve for x
    x = 18,191,711,149.40/170,806.65
  6. Step 6: Final answer
    x = 106,504.70

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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.