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Finding the Fourth Proportional to 118,457.16, 163,470.50 and 64,742.16

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Solution

The fourth proportional to 118,457.16, 163,470.50 and 64,742.16 is: 89,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,457.16 : 163,470.50 = 64,742.16 : x
  2. Step 2: Convert to fraction form
    118,457.16/163,470.50 = 64,742.16/x
  3. Step 3: Cross multiply
    118,457.16x = 163,470.50 × 64,742.16
  4. Step 4: Simplify right side
    118,457.16x = 10,583,433,266.28
  5. Step 5: Solve for x
    x = 10,583,433,266.28/118,457.16
  6. Step 6: Final answer
    x = 89,343.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.