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Finding the Fourth Proportional to 170,457, 255,722.42 and 65,275.98

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Solution

The fourth proportional to 170,457, 255,722.42 and 65,275.98 is: 97,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,457 : 255,722.42 = 65,275.98 : x
  2. Step 2: Convert to fraction form
    170,457/255,722.42 = 65,275.98/x
  3. Step 3: Cross multiply
    170,457x = 255,722.42 × 65,275.98
  4. Step 4: Simplify right side
    170,457x = 16,692,531,247.09
  5. Step 5: Solve for x
    x = 16,692,531,247.09/170,457
  6. Step 6: Final answer
    x = 97,928.11

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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.