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Finding the Fourth Proportional to 159,656.50, 239,484.75 and 64,938.22

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Solution

The fourth proportional to 159,656.50, 239,484.75 and 64,938.22 is: 97,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,656.50 : 239,484.75 = 64,938.22 : x
  2. Step 2: Convert to fraction form
    159,656.50/239,484.75 = 64,938.22/x
  3. Step 3: Cross multiply
    159,656.50x = 239,484.75 × 64,938.22
  4. Step 4: Simplify right side
    159,656.50x = 15,551,713,382.15
  5. Step 5: Solve for x
    x = 15,551,713,382.15/159,656.50
  6. Step 6: Final answer
    x = 97,407.33

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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.