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Finding the Fourth Proportional to 164,988, 227,742.48 and 97,920

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Solution

The fourth proportional to 164,988, 227,742.48 and 97,920 is: 135,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,988 : 227,742.48 = 97,920 : x
  2. Step 2: Convert to fraction form
    164,988/227,742.48 = 97,920/x
  3. Step 3: Cross multiply
    164,988x = 227,742.48 × 97,920
  4. Step 4: Simplify right side
    164,988x = 22,300,543,641.60
  5. Step 5: Solve for x
    x = 22,300,543,641.60/164,988
  6. Step 6: Final answer
    x = 135,164.64

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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.